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Finding the Fourth Proportional to 9,878.90, 13,632.38 and 5,401.78

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Solution

The fourth proportional to 9,878.90, 13,632.38 and 5,401.78 is: 7,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.90 : 13,632.38 = 5,401.78 : x
  2. Step 2: Convert to fraction form
    9,878.90/13,632.38 = 5,401.78/x
  3. Step 3: Cross multiply
    9,878.90x = 13,632.38 × 5,401.78
  4. Step 4: Simplify right side
    9,878.90x = 73,639,090.63
  5. Step 5: Solve for x
    x = 73,639,090.63/9,878.90
  6. Step 6: Final answer
    x = 7,454.18

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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.