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Finding the Fourth Proportional to 9,331.26, 12,895.74 and 7,650.06

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Solution

The fourth proportional to 9,331.26, 12,895.74 and 7,650.06 is: 10,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.26 : 12,895.74 = 7,650.06 : x
  2. Step 2: Convert to fraction form
    9,331.26/12,895.74 = 7,650.06/x
  3. Step 3: Cross multiply
    9,331.26x = 12,895.74 × 7,650.06
  4. Step 4: Simplify right side
    9,331.26x = 98,653,184.74
  5. Step 5: Solve for x
    x = 98,653,184.74/9,331.26
  6. Step 6: Final answer
    x = 10,572.33

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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.