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Finding the Fourth Proportional to 9,869.87, 13,620.25 and 5,393.52

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Solution

The fourth proportional to 9,869.87, 13,620.25 and 5,393.52 is: 7,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.87 : 13,620.25 = 5,393.52 : x
  2. Step 2: Convert to fraction form
    9,869.87/13,620.25 = 5,393.52/x
  3. Step 3: Cross multiply
    9,869.87x = 13,620.25 × 5,393.52
  4. Step 4: Simplify right side
    9,869.87x = 73,461,090.78
  5. Step 5: Solve for x
    x = 73,461,090.78/9,869.87
  6. Step 6: Final answer
    x = 7,442.96

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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.