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Finding the Fourth Proportional to 10,419.32, 15,615.38 and 9,099.94

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Solution

The fourth proportional to 10,419.32, 15,615.38 and 9,099.94 is: 13,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.32 : 15,615.38 = 9,099.94 : x
  2. Step 2: Convert to fraction form
    10,419.32/15,615.38 = 9,099.94/x
  3. Step 3: Cross multiply
    10,419.32x = 15,615.38 × 9,099.94
  4. Step 4: Simplify right side
    10,419.32x = 142,098,943.00
  5. Step 5: Solve for x
    x = 142,098,943.00/10,419.32
  6. Step 6: Final answer
    x = 13,638.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.