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Finding the Fourth Proportional to 9,135.68, 12,595.76 and 7,455.38

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Solution

The fourth proportional to 9,135.68, 12,595.76 and 7,455.38 is: 10,279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.68 : 12,595.76 = 7,455.38 : x
  2. Step 2: Convert to fraction form
    9,135.68/12,595.76 = 7,455.38/x
  3. Step 3: Cross multiply
    9,135.68x = 12,595.76 × 7,455.38
  4. Step 4: Simplify right side
    9,135.68x = 93,906,177.19
  5. Step 5: Solve for x
    x = 93,906,177.19/9,135.68
  6. Step 6: Final answer
    x = 10,279.06

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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.