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Finding the Fourth Proportional to 10,463.10, 14,438.42 and 9,627.18

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Solution

The fourth proportional to 10,463.10, 14,438.42 and 9,627.18 is: 13,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.10 : 14,438.42 = 9,627.18 : x
  2. Step 2: Convert to fraction form
    10,463.10/14,438.42 = 9,627.18/x
  3. Step 3: Cross multiply
    10,463.10x = 14,438.42 × 9,627.18
  4. Step 4: Simplify right side
    10,463.10x = 139,001,268.26
  5. Step 5: Solve for x
    x = 139,001,268.26/10,463.10
  6. Step 6: Final answer
    x = 13,284.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.