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Finding the Fourth Proportional to 10,301.85, 15,366.17 and 9,355.86

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Solution

The fourth proportional to 10,301.85, 15,366.17 and 9,355.86 is: 13,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.85 : 15,366.17 = 9,355.86 : x
  2. Step 2: Convert to fraction form
    10,301.85/15,366.17 = 9,355.86/x
  3. Step 3: Cross multiply
    10,301.85x = 15,366.17 × 9,355.86
  4. Step 4: Simplify right side
    10,301.85x = 143,763,735.26
  5. Step 5: Solve for x
    x = 143,763,735.26/10,301.85
  6. Step 6: Final answer
    x = 13,955.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.