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Finding the Fourth Proportional to 9,691.47, 14,533.68 and 4,145.22

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Solution

The fourth proportional to 9,691.47, 14,533.68 and 4,145.22 is: 6,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.47 : 14,533.68 = 4,145.22 : x
  2. Step 2: Convert to fraction form
    9,691.47/14,533.68 = 4,145.22/x
  3. Step 3: Cross multiply
    9,691.47x = 14,533.68 × 4,145.22
  4. Step 4: Simplify right side
    9,691.47x = 60,245,301.01
  5. Step 5: Solve for x
    x = 60,245,301.01/9,691.47
  6. Step 6: Final answer
    x = 6,216.32

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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.