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Finding the Fourth Proportional to 9,307.17, 12,843.77 and 6,169.23

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Solution

The fourth proportional to 9,307.17, 12,843.77 and 6,169.23 is: 8,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.17 : 12,843.77 = 6,169.23 : x
  2. Step 2: Convert to fraction form
    9,307.17/12,843.77 = 6,169.23/x
  3. Step 3: Cross multiply
    9,307.17x = 12,843.77 × 6,169.23
  4. Step 4: Simplify right side
    9,307.17x = 79,236,140.35
  5. Step 5: Solve for x
    x = 79,236,140.35/9,307.17
  6. Step 6: Final answer
    x = 8,513.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.