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Finding the Fourth Proportional to 9,058.50, 12,500.73 and 5,332.50

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Solution

The fourth proportional to 9,058.50, 12,500.73 and 5,332.50 is: 7,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058.50 : 12,500.73 = 5,332.50 : x
  2. Step 2: Convert to fraction form
    9,058.50/12,500.73 = 5,332.50/x
  3. Step 3: Cross multiply
    9,058.50x = 12,500.73 × 5,332.50
  4. Step 4: Simplify right side
    9,058.50x = 66,660,142.73
  5. Step 5: Solve for x
    x = 66,660,142.73/9,058.50
  6. Step 6: Final answer
    x = 7,358.85

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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.