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Finding the Fourth Proportional to 9,472.08, 13,053.72 and 6,814.86

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Solution

The fourth proportional to 9,472.08, 13,053.72 and 6,814.86 is: 9,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.08 : 13,053.72 = 6,814.86 : x
  2. Step 2: Convert to fraction form
    9,472.08/13,053.72 = 6,814.86/x
  3. Step 3: Cross multiply
    9,472.08x = 13,053.72 × 6,814.86
  4. Step 4: Simplify right side
    9,472.08x = 88,959,274.28
  5. Step 5: Solve for x
    x = 88,959,274.28/9,472.08
  6. Step 6: Final answer
    x = 9,391.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.