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Finding the Fourth Proportional to 9,754.34, 13,456.61 and 6,605.06

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Solution

The fourth proportional to 9,754.34, 13,456.61 and 6,605.06 is: 9,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.34 : 13,456.61 = 6,605.06 : x
  2. Step 2: Convert to fraction form
    9,754.34/13,456.61 = 6,605.06/x
  3. Step 3: Cross multiply
    9,754.34x = 13,456.61 × 6,605.06
  4. Step 4: Simplify right side
    9,754.34x = 88,881,616.14
  5. Step 5: Solve for x
    x = 88,881,616.14/9,754.34
  6. Step 6: Final answer
    x = 9,112.01

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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.