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Finding the Fourth Proportional to 9,140.98, 12,617.62 and 6,496.07

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Solution

The fourth proportional to 9,140.98, 12,617.62 and 6,496.07 is: 8,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.98 : 12,617.62 = 6,496.07 : x
  2. Step 2: Convert to fraction form
    9,140.98/12,617.62 = 6,496.07/x
  3. Step 3: Cross multiply
    9,140.98x = 12,617.62 × 6,496.07
  4. Step 4: Simplify right side
    9,140.98x = 81,965,006.43
  5. Step 5: Solve for x
    x = 81,965,006.43/9,140.98
  6. Step 6: Final answer
    x = 8,966.77

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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.