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Finding the Fourth Proportional to 8,964.32, 12,365.70 and 5,378.31

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Solution

The fourth proportional to 8,964.32, 12,365.70 and 5,378.31 is: 7,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.32 : 12,365.70 = 5,378.31 : x
  2. Step 2: Convert to fraction form
    8,964.32/12,365.70 = 5,378.31/x
  3. Step 3: Cross multiply
    8,964.32x = 12,365.70 × 5,378.31
  4. Step 4: Simplify right side
    8,964.32x = 66,506,567.97
  5. Step 5: Solve for x
    x = 66,506,567.97/8,964.32
  6. Step 6: Final answer
    x = 7,419.03

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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.