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Finding the Fourth Proportional to 9,042.84, 12,470.34 and 7,052.66

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Solution

The fourth proportional to 9,042.84, 12,470.34 and 7,052.66 is: 9,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.84 : 12,470.34 = 7,052.66 : x
  2. Step 2: Convert to fraction form
    9,042.84/12,470.34 = 7,052.66/x
  3. Step 3: Cross multiply
    9,042.84x = 12,470.34 × 7,052.66
  4. Step 4: Simplify right side
    9,042.84x = 87,949,068.10
  5. Step 5: Solve for x
    x = 87,949,068.10/9,042.84
  6. Step 6: Final answer
    x = 9,725.82

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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.