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Finding the Fourth Proportional to 9,417.12, 14,116.95 and 3,490.71

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Solution

The fourth proportional to 9,417.12, 14,116.95 and 3,490.71 is: 5,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.12 : 14,116.95 = 3,490.71 : x
  2. Step 2: Convert to fraction form
    9,417.12/14,116.95 = 3,490.71/x
  3. Step 3: Cross multiply
    9,417.12x = 14,116.95 × 3,490.71
  4. Step 4: Simplify right side
    9,417.12x = 49,278,178.53
  5. Step 5: Solve for x
    x = 49,278,178.53/9,417.12
  6. Step 6: Final answer
    x = 5,232.83

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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.