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Finding the Fourth Proportional to 9,757.46, 13,465.32 and 5,281.25

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Solution

The fourth proportional to 9,757.46, 13,465.32 and 5,281.25 is: 7,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.46 : 13,465.32 = 5,281.25 : x
  2. Step 2: Convert to fraction form
    9,757.46/13,465.32 = 5,281.25/x
  3. Step 3: Cross multiply
    9,757.46x = 13,465.32 × 5,281.25
  4. Step 4: Simplify right side
    9,757.46x = 71,113,754.91
  5. Step 5: Solve for x
    x = 71,113,754.91/9,757.46
  6. Step 6: Final answer
    x = 7,288.14

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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.