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Finding the Fourth Proportional to 9,042.42, 13,565.16 and 3,118.71

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Solution

The fourth proportional to 9,042.42, 13,565.16 and 3,118.71 is: 4,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.42 : 13,565.16 = 3,118.71 : x
  2. Step 2: Convert to fraction form
    9,042.42/13,565.16 = 3,118.71/x
  3. Step 3: Cross multiply
    9,042.42x = 13,565.16 × 3,118.71
  4. Step 4: Simplify right side
    9,042.42x = 42,305,800.14
  5. Step 5: Solve for x
    x = 42,305,800.14/9,042.42
  6. Step 6: Final answer
    x = 4,678.59

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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.