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Finding the Fourth Proportional to 6,472.34, 9,701.97 and 2,521.13

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Solution

The fourth proportional to 6,472.34, 9,701.97 and 2,521.13 is: 3,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.34 : 9,701.97 = 2,521.13 : x
  2. Step 2: Convert to fraction form
    6,472.34/9,701.97 = 2,521.13/x
  3. Step 3: Cross multiply
    6,472.34x = 9,701.97 × 2,521.13
  4. Step 4: Simplify right side
    6,472.34x = 24,459,879.12
  5. Step 5: Solve for x
    x = 24,459,879.12/6,472.34
  6. Step 6: Final answer
    x = 3,779.14

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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.