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Finding the Fourth Proportional to 9,104.49, 12,564 and 5,125.52

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Solution

The fourth proportional to 9,104.49, 12,564 and 5,125.52 is: 7,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.49 : 12,564 = 5,125.52 : x
  2. Step 2: Convert to fraction form
    9,104.49/12,564 = 5,125.52/x
  3. Step 3: Cross multiply
    9,104.49x = 12,564 × 5,125.52
  4. Step 4: Simplify right side
    9,104.49x = 64,396,970.46
  5. Step 5: Solve for x
    x = 64,396,970.46/9,104.49
  6. Step 6: Final answer
    x = 7,073.10

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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.