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Finding the Fourth Proportional to 10,419.06, 15,615.01 and 9,099.68

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Solution

The fourth proportional to 10,419.06, 15,615.01 and 9,099.68 is: 13,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.06 : 15,615.01 = 9,099.68 : x
  2. Step 2: Convert to fraction form
    10,419.06/15,615.01 = 9,099.68/x
  3. Step 3: Cross multiply
    10,419.06x = 15,615.01 × 9,099.68
  4. Step 4: Simplify right side
    10,419.06x = 142,091,610.49
  5. Step 5: Solve for x
    x = 142,091,610.49/10,419.06
  6. Step 6: Final answer
    x = 13,637.66

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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.