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Finding the Fourth Proportional to 9,318.34, 12,859.31 and 5,341.76

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Solution

The fourth proportional to 9,318.34, 12,859.31 and 5,341.76 is: 7,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.34 : 12,859.31 = 5,341.76 : x
  2. Step 2: Convert to fraction form
    9,318.34/12,859.31 = 5,341.76/x
  3. Step 3: Cross multiply
    9,318.34x = 12,859.31 × 5,341.76
  4. Step 4: Simplify right side
    9,318.34x = 68,691,393.29
  5. Step 5: Solve for x
    x = 68,691,393.29/9,318.34
  6. Step 6: Final answer
    x = 7,371.64

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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.