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Finding the Fourth Proportional to 6,456.60, 9,688.12 and 4,816.44

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Solution

The fourth proportional to 6,456.60, 9,688.12 and 4,816.44 is: 7,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.60 : 9,688.12 = 4,816.44 : x
  2. Step 2: Convert to fraction form
    6,456.60/9,688.12 = 4,816.44/x
  3. Step 3: Cross multiply
    6,456.60x = 9,688.12 × 4,816.44
  4. Step 4: Simplify right side
    6,456.60x = 46,662,248.69
  5. Step 5: Solve for x
    x = 46,662,248.69/6,456.60
  6. Step 6: Final answer
    x = 7,227.06

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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.