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Finding the Fourth Proportional to 9,474.48, 13,071.60 and 5,494.14

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Solution

The fourth proportional to 9,474.48, 13,071.60 and 5,494.14 is: 7,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.48 : 13,071.60 = 5,494.14 : x
  2. Step 2: Convert to fraction form
    9,474.48/13,071.60 = 5,494.14/x
  3. Step 3: Cross multiply
    9,474.48x = 13,071.60 × 5,494.14
  4. Step 4: Simplify right side
    9,474.48x = 71,817,200.42
  5. Step 5: Solve for x
    x = 71,817,200.42/9,474.48
  6. Step 6: Final answer
    x = 7,580.07

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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.