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Finding the Fourth Proportional to 6,472.90, 9,702.81 and 2,521.69

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Solution

The fourth proportional to 6,472.90, 9,702.81 and 2,521.69 is: 3,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.90 : 9,702.81 = 2,521.69 : x
  2. Step 2: Convert to fraction form
    6,472.90/9,702.81 = 2,521.69/x
  3. Step 3: Cross multiply
    6,472.90x = 9,702.81 × 2,521.69
  4. Step 4: Simplify right side
    6,472.90x = 24,467,454.69
  5. Step 5: Solve for x
    x = 24,467,454.69/6,472.90
  6. Step 6: Final answer
    x = 3,779.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.