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Finding the Fourth Proportional to 9,602.46, 13,251.51 and 5,410.71

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Solution

The fourth proportional to 9,602.46, 13,251.51 and 5,410.71 is: 7,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.46 : 13,251.51 = 5,410.71 : x
  2. Step 2: Convert to fraction form
    9,602.46/13,251.51 = 5,410.71/x
  3. Step 3: Cross multiply
    9,602.46x = 13,251.51 × 5,410.71
  4. Step 4: Simplify right side
    9,602.46x = 71,700,077.67
  5. Step 5: Solve for x
    x = 71,700,077.67/9,602.46
  6. Step 6: Final answer
    x = 7,466.84

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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.