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Finding the Fourth Proportional to 7,944.48, 11,897.20 and 6,549.28

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Solution

The fourth proportional to 7,944.48, 11,897.20 and 6,549.28 is: 9,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.48 : 11,897.20 = 6,549.28 : x
  2. Step 2: Convert to fraction form
    7,944.48/11,897.20 = 6,549.28/x
  3. Step 3: Cross multiply
    7,944.48x = 11,897.20 × 6,549.28
  4. Step 4: Simplify right side
    7,944.48x = 77,918,094.02
  5. Step 5: Solve for x
    x = 77,918,094.02/7,944.48
  6. Step 6: Final answer
    x = 9,807.83

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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.