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Finding the Fourth Proportional to 6,538.52, 9,029.58 and 4,742.84

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Solution

The fourth proportional to 6,538.52, 9,029.58 and 4,742.84 is: 6,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.52 : 9,029.58 = 4,742.84 : x
  2. Step 2: Convert to fraction form
    6,538.52/9,029.58 = 4,742.84/x
  3. Step 3: Cross multiply
    6,538.52x = 9,029.58 × 4,742.84
  4. Step 4: Simplify right side
    6,538.52x = 42,825,853.21
  5. Step 5: Solve for x
    x = 42,825,853.21/6,538.52
  6. Step 6: Final answer
    x = 6,549.78

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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.