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Finding the Fourth Proportional to 6,034.77, 9,055.60 and 4,714.82

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Solution

The fourth proportional to 6,034.77, 9,055.60 and 4,714.82 is: 7,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.77 : 9,055.60 = 4,714.82 : x
  2. Step 2: Convert to fraction form
    6,034.77/9,055.60 = 4,714.82/x
  3. Step 3: Cross multiply
    6,034.77x = 9,055.60 × 4,714.82
  4. Step 4: Simplify right side
    6,034.77x = 42,695,523.99
  5. Step 5: Solve for x
    x = 42,695,523.99/6,034.77
  6. Step 6: Final answer
    x = 7,074.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.