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Finding the Fourth Proportional to 9,318.64, 12,858.96 and 5,780.56

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Solution

The fourth proportional to 9,318.64, 12,858.96 and 5,780.56 is: 7,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.64 : 12,858.96 = 5,780.56 : x
  2. Step 2: Convert to fraction form
    9,318.64/12,858.96 = 5,780.56/x
  3. Step 3: Cross multiply
    9,318.64x = 12,858.96 × 5,780.56
  4. Step 4: Simplify right side
    9,318.64x = 74,331,989.82
  5. Step 5: Solve for x
    x = 74,331,989.82/9,318.64
  6. Step 6: Final answer
    x = 7,976.70

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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.