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Finding the Fourth Proportional to 9,398.64, 12,970.12 and 5,207.70

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Solution

The fourth proportional to 9,398.64, 12,970.12 and 5,207.70 is: 7,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.64 : 12,970.12 = 5,207.70 : x
  2. Step 2: Convert to fraction form
    9,398.64/12,970.12 = 5,207.70/x
  3. Step 3: Cross multiply
    9,398.64x = 12,970.12 × 5,207.70
  4. Step 4: Simplify right side
    9,398.64x = 67,544,493.92
  5. Step 5: Solve for x
    x = 67,544,493.92/9,398.64
  6. Step 6: Final answer
    x = 7,186.62

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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.