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Finding the Fourth Proportional to 9,854.46, 13,599.36 and 5,378.31

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Solution

The fourth proportional to 9,854.46, 13,599.36 and 5,378.31 is: 7,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.46 : 13,599.36 = 5,378.31 : x
  2. Step 2: Convert to fraction form
    9,854.46/13,599.36 = 5,378.31/x
  3. Step 3: Cross multiply
    9,854.46x = 13,599.36 × 5,378.31
  4. Step 4: Simplify right side
    9,854.46x = 73,141,573.88
  5. Step 5: Solve for x
    x = 73,141,573.88/9,854.46
  6. Step 6: Final answer
    x = 7,422.18

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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.