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Finding the Fourth Proportional to 10,113, 13,949.08 and 6,569.88

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Solution

The fourth proportional to 10,113, 13,949.08 and 6,569.88 is: 9,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113 : 13,949.08 = 6,569.88 : x
  2. Step 2: Convert to fraction form
    10,113/13,949.08 = 6,569.88/x
  3. Step 3: Cross multiply
    10,113x = 13,949.08 × 6,569.88
  4. Step 4: Simplify right side
    10,113x = 91,643,781.71
  5. Step 5: Solve for x
    x = 91,643,781.71/10,113
  6. Step 6: Final answer
    x = 9,061.98

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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.