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Finding the Fourth Proportional to 9,869.61, 13,620.24 and 5,393.55

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Solution

The fourth proportional to 9,869.61, 13,620.24 and 5,393.55 is: 7,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.61 : 13,620.24 = 5,393.55 : x
  2. Step 2: Convert to fraction form
    9,869.61/13,620.24 = 5,393.55/x
  3. Step 3: Cross multiply
    9,869.61x = 13,620.24 × 5,393.55
  4. Step 4: Simplify right side
    9,869.61x = 73,461,445.45
  5. Step 5: Solve for x
    x = 73,461,445.45/9,869.61
  6. Step 6: Final answer
    x = 7,443.20

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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.