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Finding the Fourth Proportional to 6,856.80, 9,459.44 and 5,282.40

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Solution

The fourth proportional to 6,856.80, 9,459.44 and 5,282.40 is: 7,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.80 : 9,459.44 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    6,856.80/9,459.44 = 5,282.40/x
  3. Step 3: Cross multiply
    6,856.80x = 9,459.44 × 5,282.40
  4. Step 4: Simplify right side
    6,856.80x = 49,968,545.86
  5. Step 5: Solve for x
    x = 49,968,545.86/6,856.80
  6. Step 6: Final answer
    x = 7,287.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.