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Finding the Fourth Proportional to 9,475.96, 13,077.78 and 5,497.96

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Solution

The fourth proportional to 9,475.96, 13,077.78 and 5,497.96 is: 7,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.96 : 13,077.78 = 5,497.96 : x
  2. Step 2: Convert to fraction form
    9,475.96/13,077.78 = 5,497.96/x
  3. Step 3: Cross multiply
    9,475.96x = 13,077.78 × 5,497.96
  4. Step 4: Simplify right side
    9,475.96x = 71,901,111.33
  5. Step 5: Solve for x
    x = 71,901,111.33/9,475.96
  6. Step 6: Final answer
    x = 7,587.74

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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.