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Finding the Fourth Proportional to 9,691.24, 14,530.14 and 5,077.48

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Solution

The fourth proportional to 9,691.24, 14,530.14 and 5,077.48 is: 7,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.24 : 14,530.14 = 5,077.48 : x
  2. Step 2: Convert to fraction form
    9,691.24/14,530.14 = 5,077.48/x
  3. Step 3: Cross multiply
    9,691.24x = 14,530.14 × 5,077.48
  4. Step 4: Simplify right side
    9,691.24x = 73,776,495.25
  5. Step 5: Solve for x
    x = 73,776,495.25/9,691.24
  6. Step 6: Final answer
    x = 7,612.70

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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.