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Finding the Fourth Proportional to 6,381.31, 9,560.98 and 4,978.50

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Solution

The fourth proportional to 6,381.31, 9,560.98 and 4,978.50 is: 7,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.31 : 9,560.98 = 4,978.50 : x
  2. Step 2: Convert to fraction form
    6,381.31/9,560.98 = 4,978.50/x
  3. Step 3: Cross multiply
    6,381.31x = 9,560.98 × 4,978.50
  4. Step 4: Simplify right side
    6,381.31x = 47,599,330.38
  5. Step 5: Solve for x
    x = 47,599,330.38/6,381.31
  6. Step 6: Final answer
    x = 7,459.18

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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.