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Finding the Fourth Proportional to 9,454.40, 13,042.08 and 5,727.68

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Solution

The fourth proportional to 9,454.40, 13,042.08 and 5,727.68 is: 7,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.40 : 13,042.08 = 5,727.68 : x
  2. Step 2: Convert to fraction form
    9,454.40/13,042.08 = 5,727.68/x
  3. Step 3: Cross multiply
    9,454.40x = 13,042.08 × 5,727.68
  4. Step 4: Simplify right side
    9,454.40x = 74,700,860.77
  5. Step 5: Solve for x
    x = 74,700,860.77/9,454.40
  6. Step 6: Final answer
    x = 7,901.17

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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.