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Finding the Fourth Proportional to 9,812,820.63, 13,541,693.07 and 5,461,813.59

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Solution

The fourth proportional to 9,812,820.63, 13,541,693.07 and 5,461,813.59 is: 7,537,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812,820.63 : 13,541,693.07 = 5,461,813.59 : x
  2. Step 2: Convert to fraction form
    9,812,820.63/13,541,693.07 = 5,461,813.59/x
  3. Step 3: Cross multiply
    9,812,820.63x = 13,541,693.07 × 5,461,813.59
  4. Step 4: Simplify right side
    9,812,820.63x = 73,962,203,241,334.83
  5. Step 5: Solve for x
    x = 73,962,203,241,334.83/9,812,820.63
  6. Step 6: Final answer
    x = 7,537,303.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.