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Finding the Fourth Proportional to 8,315.60, 12,473.40 and 6,456.65

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Solution

The fourth proportional to 8,315.60, 12,473.40 and 6,456.65 is: 9,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.60 : 12,473.40 = 6,456.65 : x
  2. Step 2: Convert to fraction form
    8,315.60/12,473.40 = 6,456.65/x
  3. Step 3: Cross multiply
    8,315.60x = 12,473.40 × 6,456.65
  4. Step 4: Simplify right side
    8,315.60x = 80,536,378.11
  5. Step 5: Solve for x
    x = 80,536,378.11/8,315.60
  6. Step 6: Final answer
    x = 9,684.98

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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.