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Finding the Fourth Proportional to 6,928.24, 9,566.28 and 4,573.76

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Solution

The fourth proportional to 6,928.24, 9,566.28 and 4,573.76 is: 6,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.24 : 9,566.28 = 4,573.76 : x
  2. Step 2: Convert to fraction form
    6,928.24/9,566.28 = 4,573.76/x
  3. Step 3: Cross multiply
    6,928.24x = 9,566.28 × 4,573.76
  4. Step 4: Simplify right side
    6,928.24x = 43,753,868.81
  5. Step 5: Solve for x
    x = 43,753,868.81/6,928.24
  6. Step 6: Final answer
    x = 6,315.29

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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.