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Finding the Fourth Proportional to 9,053.91, 12,495.87 and 5,471.82

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Solution

The fourth proportional to 9,053.91, 12,495.87 and 5,471.82 is: 7,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.91 : 12,495.87 = 5,471.82 : x
  2. Step 2: Convert to fraction form
    9,053.91/12,495.87 = 5,471.82/x
  3. Step 3: Cross multiply
    9,053.91x = 12,495.87 × 5,471.82
  4. Step 4: Simplify right side
    9,053.91x = 68,375,151.38
  5. Step 5: Solve for x
    x = 68,375,151.38/9,053.91
  6. Step 6: Final answer
    x = 7,552.00

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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.