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Finding the Fourth Proportional to 9,615.83, 14,397.68 and 4,989.11

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Solution

The fourth proportional to 9,615.83, 14,397.68 and 4,989.11 is: 7,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.83 : 14,397.68 = 4,989.11 : x
  2. Step 2: Convert to fraction form
    9,615.83/14,397.68 = 4,989.11/x
  3. Step 3: Cross multiply
    9,615.83x = 14,397.68 × 4,989.11
  4. Step 4: Simplify right side
    9,615.83x = 71,831,549.75
  5. Step 5: Solve for x
    x = 71,831,549.75/9,615.83
  6. Step 6: Final answer
    x = 7,470.14

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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.