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Finding the Fourth Proportional to 6,430.90, 9,646.36 and 2,732.58

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Solution

The fourth proportional to 6,430.90, 9,646.36 and 2,732.58 is: 4,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.90 : 9,646.36 = 2,732.58 : x
  2. Step 2: Convert to fraction form
    6,430.90/9,646.36 = 2,732.58/x
  3. Step 3: Cross multiply
    6,430.90x = 9,646.36 × 2,732.58
  4. Step 4: Simplify right side
    6,430.90x = 26,359,450.41
  5. Step 5: Solve for x
    x = 26,359,450.41/6,430.90
  6. Step 6: Final answer
    x = 4,098.87

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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.