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Finding the Fourth Proportional to 7,064.52, 9,746.42 and 5,449.88

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Solution

The fourth proportional to 7,064.52, 9,746.42 and 5,449.88 is: 7,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.52 : 9,746.42 = 5,449.88 : x
  2. Step 2: Convert to fraction form
    7,064.52/9,746.42 = 5,449.88/x
  3. Step 3: Cross multiply
    7,064.52x = 9,746.42 × 5,449.88
  4. Step 4: Simplify right side
    7,064.52x = 53,116,819.43
  5. Step 5: Solve for x
    x = 53,116,819.43/7,064.52
  6. Step 6: Final answer
    x = 7,518.82

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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.