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Finding the Fourth Proportional to 9,156.46, 12,635.92 and 4,964.71

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Solution

The fourth proportional to 9,156.46, 12,635.92 and 4,964.71 is: 6,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.46 : 12,635.92 = 4,964.71 : x
  2. Step 2: Convert to fraction form
    9,156.46/12,635.92 = 4,964.71/x
  3. Step 3: Cross multiply
    9,156.46x = 12,635.92 × 4,964.71
  4. Step 4: Simplify right side
    9,156.46x = 62,733,590.38
  5. Step 5: Solve for x
    x = 62,733,590.38/9,156.46
  6. Step 6: Final answer
    x = 6,851.30

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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.