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Finding the Fourth Proportional to 6,312.30, 9,472.60 and 2,416.71

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Solution

The fourth proportional to 6,312.30, 9,472.60 and 2,416.71 is: 3,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.30 : 9,472.60 = 2,416.71 : x
  2. Step 2: Convert to fraction form
    6,312.30/9,472.60 = 2,416.71/x
  3. Step 3: Cross multiply
    6,312.30x = 9,472.60 × 2,416.71
  4. Step 4: Simplify right side
    6,312.30x = 22,892,525.45
  5. Step 5: Solve for x
    x = 22,892,525.45/6,312.30
  6. Step 6: Final answer
    x = 3,626.65

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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.