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Finding the Fourth Proportional to 9,527.52, 13,147.98 and 5,335.80

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Solution

The fourth proportional to 9,527.52, 13,147.98 and 5,335.80 is: 7,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.52 : 13,147.98 = 5,335.80 : x
  2. Step 2: Convert to fraction form
    9,527.52/13,147.98 = 5,335.80/x
  3. Step 3: Cross multiply
    9,527.52x = 13,147.98 × 5,335.80
  4. Step 4: Simplify right side
    9,527.52x = 70,154,991.68
  5. Step 5: Solve for x
    x = 70,154,991.68/9,527.52
  6. Step 6: Final answer
    x = 7,363.41

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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.