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Finding the Fourth Proportional to 7,074.52, 9,753.66 and 4,714.84

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Solution

The fourth proportional to 7,074.52, 9,753.66 and 4,714.84 is: 6,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.52 : 9,753.66 = 4,714.84 : x
  2. Step 2: Convert to fraction form
    7,074.52/9,753.66 = 4,714.84/x
  3. Step 3: Cross multiply
    7,074.52x = 9,753.66 × 4,714.84
  4. Step 4: Simplify right side
    7,074.52x = 45,986,946.31
  5. Step 5: Solve for x
    x = 45,986,946.31/7,074.52
  6. Step 6: Final answer
    x = 6,500.36

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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.