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Finding the Fourth Proportional to 9,337.08, 12,891.50 and 6,537.72

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Solution

The fourth proportional to 9,337.08, 12,891.50 and 6,537.72 is: 9,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.08 : 12,891.50 = 6,537.72 : x
  2. Step 2: Convert to fraction form
    9,337.08/12,891.50 = 6,537.72/x
  3. Step 3: Cross multiply
    9,337.08x = 12,891.50 × 6,537.72
  4. Step 4: Simplify right side
    9,337.08x = 84,281,017.38
  5. Step 5: Solve for x
    x = 84,281,017.38/9,337.08
  6. Step 6: Final answer
    x = 9,026.49

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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.