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Finding the Fourth Proportional to 9,602.32, 13,251.16 and 5,410.56

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Solution

The fourth proportional to 9,602.32, 13,251.16 and 5,410.56 is: 7,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.32 : 13,251.16 = 5,410.56 : x
  2. Step 2: Convert to fraction form
    9,602.32/13,251.16 = 5,410.56/x
  3. Step 3: Cross multiply
    9,602.32x = 13,251.16 × 5,410.56
  4. Step 4: Simplify right side
    9,602.32x = 71,696,196.25
  5. Step 5: Solve for x
    x = 71,696,196.25/9,602.32
  6. Step 6: Final answer
    x = 7,466.55

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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.