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Finding the Fourth Proportional to 9,623.14, 13,275.16 and 6,267.90

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Solution

The fourth proportional to 9,623.14, 13,275.16 and 6,267.90 is: 8,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.14 : 13,275.16 = 6,267.90 : x
  2. Step 2: Convert to fraction form
    9,623.14/13,275.16 = 6,267.90/x
  3. Step 3: Cross multiply
    9,623.14x = 13,275.16 × 6,267.90
  4. Step 4: Simplify right side
    9,623.14x = 83,207,375.36
  5. Step 5: Solve for x
    x = 83,207,375.36/9,623.14
  6. Step 6: Final answer
    x = 8,646.59

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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.