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Finding the Fourth Proportional to 9,397.32, 12,969.18 and 5,206.92

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Solution

The fourth proportional to 9,397.32, 12,969.18 and 5,206.92 is: 7,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.32 : 12,969.18 = 5,206.92 : x
  2. Step 2: Convert to fraction form
    9,397.32/12,969.18 = 5,206.92/x
  3. Step 3: Cross multiply
    9,397.32x = 12,969.18 × 5,206.92
  4. Step 4: Simplify right side
    9,397.32x = 67,529,482.73
  5. Step 5: Solve for x
    x = 67,529,482.73/9,397.32
  6. Step 6: Final answer
    x = 7,186.04

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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.