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Finding the Fourth Proportional to 6,341.70, 9,514.59 and 3,055.02

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Solution

The fourth proportional to 6,341.70, 9,514.59 and 3,055.02 is: 4,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.70 : 9,514.59 = 3,055.02 : x
  2. Step 2: Convert to fraction form
    6,341.70/9,514.59 = 3,055.02/x
  3. Step 3: Cross multiply
    6,341.70x = 9,514.59 × 3,055.02
  4. Step 4: Simplify right side
    6,341.70x = 29,067,262.74
  5. Step 5: Solve for x
    x = 29,067,262.74/6,341.70
  6. Step 6: Final answer
    x = 4,583.51

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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.