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Finding the Fourth Proportional to 9,752.65, 13,458.66 and 5,276.40

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Solution

The fourth proportional to 9,752.65, 13,458.66 and 5,276.40 is: 7,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.65 : 13,458.66 = 5,276.40 : x
  2. Step 2: Convert to fraction form
    9,752.65/13,458.66 = 5,276.40/x
  3. Step 3: Cross multiply
    9,752.65x = 13,458.66 × 5,276.40
  4. Step 4: Simplify right side
    9,752.65x = 71,013,260.43
  5. Step 5: Solve for x
    x = 71,013,260.43/9,752.65
  6. Step 6: Final answer
    x = 7,281.43

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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.