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Finding the Fourth Proportional to 9,543.70, 13,182.58 and 7,332.78

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Solution

The fourth proportional to 9,543.70, 13,182.58 and 7,332.78 is: 10,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.70 : 13,182.58 = 7,332.78 : x
  2. Step 2: Convert to fraction form
    9,543.70/13,182.58 = 7,332.78/x
  3. Step 3: Cross multiply
    9,543.70x = 13,182.58 × 7,332.78
  4. Step 4: Simplify right side
    9,543.70x = 96,664,958.97
  5. Step 5: Solve for x
    x = 96,664,958.97/9,543.70
  6. Step 6: Final answer
    x = 10,128.67

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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.