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Finding the Fourth Proportional to 9,139.28, 12,602.84 and 5,952.74

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Solution

The fourth proportional to 9,139.28, 12,602.84 and 5,952.74 is: 8,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.28 : 12,602.84 = 5,952.74 : x
  2. Step 2: Convert to fraction form
    9,139.28/12,602.84 = 5,952.74/x
  3. Step 3: Cross multiply
    9,139.28x = 12,602.84 × 5,952.74
  4. Step 4: Simplify right side
    9,139.28x = 75,021,337.00
  5. Step 5: Solve for x
    x = 75,021,337.00/9,139.28
  6. Step 6: Final answer
    x = 8,208.67

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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.