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Finding the Fourth Proportional to 9,102.39, 12,562.50 and 5,124.28

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Solution

The fourth proportional to 9,102.39, 12,562.50 and 5,124.28 is: 7,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.39 : 12,562.50 = 5,124.28 : x
  2. Step 2: Convert to fraction form
    9,102.39/12,562.50 = 5,124.28/x
  3. Step 3: Cross multiply
    9,102.39x = 12,562.50 × 5,124.28
  4. Step 4: Simplify right side
    9,102.39x = 64,373,767.50
  5. Step 5: Solve for x
    x = 64,373,767.50/9,102.39
  6. Step 6: Final answer
    x = 7,072.18

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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.