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Finding the Fourth Proportional to 9,654.60, 13,323.42 and 5,462.76

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Solution

The fourth proportional to 9,654.60, 13,323.42 and 5,462.76 is: 7,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.60 : 13,323.42 = 5,462.76 : x
  2. Step 2: Convert to fraction form
    9,654.60/13,323.42 = 5,462.76/x
  3. Step 3: Cross multiply
    9,654.60x = 13,323.42 × 5,462.76
  4. Step 4: Simplify right side
    9,654.60x = 72,782,645.84
  5. Step 5: Solve for x
    x = 72,782,645.84/9,654.60
  6. Step 6: Final answer
    x = 7,538.65

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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.