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Finding the Fourth Proportional to 9,813.64, 13,542.68 and 5,337.48

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Solution

The fourth proportional to 9,813.64, 13,542.68 and 5,337.48 is: 7,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.64 : 13,542.68 = 5,337.48 : x
  2. Step 2: Convert to fraction form
    9,813.64/13,542.68 = 5,337.48/x
  3. Step 3: Cross multiply
    9,813.64x = 13,542.68 × 5,337.48
  4. Step 4: Simplify right side
    9,813.64x = 72,283,783.65
  5. Step 5: Solve for x
    x = 72,283,783.65/9,813.64
  6. Step 6: Final answer
    x = 7,365.64

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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.