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Finding the Fourth Proportional to 9,166.90, 12,650.34 and 4,975.14

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Solution

The fourth proportional to 9,166.90, 12,650.34 and 4,975.14 is: 6,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.90 : 12,650.34 = 4,975.14 : x
  2. Step 2: Convert to fraction form
    9,166.90/12,650.34 = 4,975.14/x
  3. Step 3: Cross multiply
    9,166.90x = 12,650.34 × 4,975.14
  4. Step 4: Simplify right side
    9,166.90x = 62,937,212.55
  5. Step 5: Solve for x
    x = 62,937,212.55/9,166.90
  6. Step 6: Final answer
    x = 6,865.70

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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.