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Finding the Fourth Proportional to 6,245.22, 9,357 and 4,780.02

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Solution

The fourth proportional to 6,245.22, 9,357 and 4,780.02 is: 7,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.22 : 9,357 = 4,780.02 : x
  2. Step 2: Convert to fraction form
    6,245.22/9,357 = 4,780.02/x
  3. Step 3: Cross multiply
    6,245.22x = 9,357 × 4,780.02
  4. Step 4: Simplify right side
    6,245.22x = 44,726,647.14
  5. Step 5: Solve for x
    x = 44,726,647.14/6,245.22
  6. Step 6: Final answer
    x = 7,161.74

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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.