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Finding the Fourth Proportional to 9,495.61, 13,101.62 and 5,913.39

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Solution

The fourth proportional to 9,495.61, 13,101.62 and 5,913.39 is: 8,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.61 : 13,101.62 = 5,913.39 : x
  2. Step 2: Convert to fraction form
    9,495.61/13,101.62 = 5,913.39/x
  3. Step 3: Cross multiply
    9,495.61x = 13,101.62 × 5,913.39
  4. Step 4: Simplify right side
    9,495.61x = 77,474,988.69
  5. Step 5: Solve for x
    x = 77,474,988.69/9,495.61
  6. Step 6: Final answer
    x = 8,159.03

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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.