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Finding the Fourth Proportional to 6,011.91, 9,034.88 and 3,547.89

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Solution

The fourth proportional to 6,011.91, 9,034.88 and 3,547.89 is: 5,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.91 : 9,034.88 = 3,547.89 : x
  2. Step 2: Convert to fraction form
    6,011.91/9,034.88 = 3,547.89/x
  3. Step 3: Cross multiply
    6,011.91x = 9,034.88 × 3,547.89
  4. Step 4: Simplify right side
    6,011.91x = 32,054,742.66
  5. Step 5: Solve for x
    x = 32,054,742.66/6,011.91
  6. Step 6: Final answer
    x = 5,331.87

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Why These Related Problems?

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