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Finding the Fourth Proportional to 9,162.60, 13,746.14 and 2,922.62

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Solution

The fourth proportional to 9,162.60, 13,746.14 and 2,922.62 is: 4,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.60 : 13,746.14 = 2,922.62 : x
  2. Step 2: Convert to fraction form
    9,162.60/13,746.14 = 2,922.62/x
  3. Step 3: Cross multiply
    9,162.60x = 13,746.14 × 2,922.62
  4. Step 4: Simplify right side
    9,162.60x = 40,174,671.30
  5. Step 5: Solve for x
    x = 40,174,671.30/9,162.60
  6. Step 6: Final answer
    x = 4,384.64

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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.