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Finding the Fourth Proportional to 9,166.16, 13,751.54 and 5,005.06

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Solution

The fourth proportional to 9,166.16, 13,751.54 and 5,005.06 is: 7,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.16 : 13,751.54 = 5,005.06 : x
  2. Step 2: Convert to fraction form
    9,166.16/13,751.54 = 5,005.06/x
  3. Step 3: Cross multiply
    9,166.16x = 13,751.54 × 5,005.06
  4. Step 4: Simplify right side
    9,166.16x = 68,827,282.79
  5. Step 5: Solve for x
    x = 68,827,282.79/9,166.16
  6. Step 6: Final answer
    x = 7,508.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.