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Finding the Fourth Proportional to 9,506.56, 14,201.84 and 9,160.96

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Solution

The fourth proportional to 9,506.56, 14,201.84 and 9,160.96 is: 13,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.56 : 14,201.84 = 9,160.96 : x
  2. Step 2: Convert to fraction form
    9,506.56/14,201.84 = 9,160.96/x
  3. Step 3: Cross multiply
    9,506.56x = 14,201.84 × 9,160.96
  4. Step 4: Simplify right side
    9,506.56x = 130,102,488.17
  5. Step 5: Solve for x
    x = 130,102,488.17/9,506.56
  6. Step 6: Final answer
    x = 13,685.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.