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Finding the Fourth Proportional to 9,116.55, 12,564.32 and 6,754.59

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Solution

The fourth proportional to 9,116.55, 12,564.32 and 6,754.59 is: 9,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.55 : 12,564.32 = 6,754.59 : x
  2. Step 2: Convert to fraction form
    9,116.55/12,564.32 = 6,754.59/x
  3. Step 3: Cross multiply
    9,116.55x = 12,564.32 × 6,754.59
  4. Step 4: Simplify right side
    9,116.55x = 84,866,796.46
  5. Step 5: Solve for x
    x = 84,866,796.46/9,116.55
  6. Step 6: Final answer
    x = 9,309.09

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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.