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Finding the Fourth Proportional to 9,887.60, 14,822.79 and 4,040.48

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Solution

The fourth proportional to 9,887.60, 14,822.79 and 4,040.48 is: 6,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.60 : 14,822.79 = 4,040.48 : x
  2. Step 2: Convert to fraction form
    9,887.60/14,822.79 = 4,040.48/x
  3. Step 3: Cross multiply
    9,887.60x = 14,822.79 × 4,040.48
  4. Step 4: Simplify right side
    9,887.60x = 59,891,186.54
  5. Step 5: Solve for x
    x = 59,891,186.54/9,887.60
  6. Step 6: Final answer
    x = 6,057.20

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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.