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Finding the Fourth Proportional to 9,302.91, 12,838.14 and 5,053.98

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Solution

The fourth proportional to 9,302.91, 12,838.14 and 5,053.98 is: 6,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.91 : 12,838.14 = 5,053.98 : x
  2. Step 2: Convert to fraction form
    9,302.91/12,838.14 = 5,053.98/x
  3. Step 3: Cross multiply
    9,302.91x = 12,838.14 × 5,053.98
  4. Step 4: Simplify right side
    9,302.91x = 64,883,702.80
  5. Step 5: Solve for x
    x = 64,883,702.80/9,302.91
  6. Step 6: Final answer
    x = 6,974.56

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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.