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Finding the Fourth Proportional to 12,568.32, 17,346.48 and 9,397.48

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Solution

The fourth proportional to 12,568.32, 17,346.48 and 9,397.48 is: 12,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.32 : 17,346.48 = 9,397.48 : x
  2. Step 2: Convert to fraction form
    12,568.32/17,346.48 = 9,397.48/x
  3. Step 3: Cross multiply
    12,568.32x = 17,346.48 × 9,397.48
  4. Step 4: Simplify right side
    12,568.32x = 163,013,198.87
  5. Step 5: Solve for x
    x = 163,013,198.87/12,568.32
  6. Step 6: Final answer
    x = 12,970.17

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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.