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Finding the Fourth Proportional to 6,339.66, 9,491.13 and 4,786.08

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Solution

The fourth proportional to 6,339.66, 9,491.13 and 4,786.08 is: 7,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.66 : 9,491.13 = 4,786.08 : x
  2. Step 2: Convert to fraction form
    6,339.66/9,491.13 = 4,786.08/x
  3. Step 3: Cross multiply
    6,339.66x = 9,491.13 × 4,786.08
  4. Step 4: Simplify right side
    6,339.66x = 45,425,307.47
  5. Step 5: Solve for x
    x = 45,425,307.47/6,339.66
  6. Step 6: Final answer
    x = 7,165.26

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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.