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Finding the Fourth Proportional to 9,042.14, 13,567.84 and 4,366.14

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Solution

The fourth proportional to 9,042.14, 13,567.84 and 4,366.14 is: 6,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.14 : 13,567.84 = 4,366.14 : x
  2. Step 2: Convert to fraction form
    9,042.14/13,567.84 = 4,366.14/x
  3. Step 3: Cross multiply
    9,042.14x = 13,567.84 × 4,366.14
  4. Step 4: Simplify right side
    9,042.14x = 59,239,088.94
  5. Step 5: Solve for x
    x = 59,239,088.94/9,042.14
  6. Step 6: Final answer
    x = 6,551.45

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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.