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Finding the Fourth Proportional to 9,037.91, 12,470.84 and 5,678.34

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Solution

The fourth proportional to 9,037.91, 12,470.84 and 5,678.34 is: 7,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.91 : 12,470.84 = 5,678.34 : x
  2. Step 2: Convert to fraction form
    9,037.91/12,470.84 = 5,678.34/x
  3. Step 3: Cross multiply
    9,037.91x = 12,470.84 × 5,678.34
  4. Step 4: Simplify right side
    9,037.91x = 70,813,652.38
  5. Step 5: Solve for x
    x = 70,813,652.38/9,037.91
  6. Step 6: Final answer
    x = 7,835.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.