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Finding the Fourth Proportional to 7,208.46, 9,947.52 and 4,064.76

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Solution

The fourth proportional to 7,208.46, 9,947.52 and 4,064.76 is: 5,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.46 : 9,947.52 = 4,064.76 : x
  2. Step 2: Convert to fraction form
    7,208.46/9,947.52 = 4,064.76/x
  3. Step 3: Cross multiply
    7,208.46x = 9,947.52 × 4,064.76
  4. Step 4: Simplify right side
    7,208.46x = 40,434,281.40
  5. Step 5: Solve for x
    x = 40,434,281.40/7,208.46
  6. Step 6: Final answer
    x = 5,609.28

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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.