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Finding the Fourth Proportional to 6,217.47, 9,326.69 and 1,775.45

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Solution

The fourth proportional to 6,217.47, 9,326.69 and 1,775.45 is: 2,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.47 : 9,326.69 = 1,775.45 : x
  2. Step 2: Convert to fraction form
    6,217.47/9,326.69 = 1,775.45/x
  3. Step 3: Cross multiply
    6,217.47x = 9,326.69 × 1,775.45
  4. Step 4: Simplify right side
    6,217.47x = 16,559,092.86
  5. Step 5: Solve for x
    x = 16,559,092.86/6,217.47
  6. Step 6: Final answer
    x = 2,663.32

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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.