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Finding the Fourth Proportional to 9,487.64, 13,092.93 and 5,295.89

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Solution

The fourth proportional to 9,487.64, 13,092.93 and 5,295.89 is: 7,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.64 : 13,092.93 = 5,295.89 : x
  2. Step 2: Convert to fraction form
    9,487.64/13,092.93 = 5,295.89/x
  3. Step 3: Cross multiply
    9,487.64x = 13,092.93 × 5,295.89
  4. Step 4: Simplify right side
    9,487.64x = 69,338,717.06
  5. Step 5: Solve for x
    x = 69,338,717.06/9,487.64
  6. Step 6: Final answer
    x = 7,308.32

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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.