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Finding the Fourth Proportional to 9,752.96, 13,459.06 and 5,276.71

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Solution

The fourth proportional to 9,752.96, 13,459.06 and 5,276.71 is: 7,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.96 : 13,459.06 = 5,276.71 : x
  2. Step 2: Convert to fraction form
    9,752.96/13,459.06 = 5,276.71/x
  3. Step 3: Cross multiply
    9,752.96x = 13,459.06 × 5,276.71
  4. Step 4: Simplify right side
    9,752.96x = 71,019,556.49
  5. Step 5: Solve for x
    x = 71,019,556.49/9,752.96
  6. Step 6: Final answer
    x = 7,281.85

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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.