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Finding the Fourth Proportional to 9,398.16, 12,969.60 and 5,206.56

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Solution

The fourth proportional to 9,398.16, 12,969.60 and 5,206.56 is: 7,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.16 : 12,969.60 = 5,206.56 : x
  2. Step 2: Convert to fraction form
    9,398.16/12,969.60 = 5,206.56/x
  3. Step 3: Cross multiply
    9,398.16x = 12,969.60 × 5,206.56
  4. Step 4: Simplify right side
    9,398.16x = 67,527,000.58
  5. Step 5: Solve for x
    x = 67,527,000.58/9,398.16
  6. Step 6: Final answer
    x = 7,185.13

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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.