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Finding the Fourth Proportional to 6,051.65, 9,070.67 and 3,081.76

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Solution

The fourth proportional to 6,051.65, 9,070.67 and 3,081.76 is: 4,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.65 : 9,070.67 = 3,081.76 : x
  2. Step 2: Convert to fraction form
    6,051.65/9,070.67 = 3,081.76/x
  3. Step 3: Cross multiply
    6,051.65x = 9,070.67 × 3,081.76
  4. Step 4: Simplify right side
    6,051.65x = 27,953,613.01
  5. Step 5: Solve for x
    x = 27,953,613.01/6,051.65
  6. Step 6: Final answer
    x = 4,619.17

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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.