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Finding the Fourth Proportional to 6,492.15, 9,734.58 and 2,109.24

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Solution

The fourth proportional to 6,492.15, 9,734.58 and 2,109.24 is: 3,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.15 : 9,734.58 = 2,109.24 : x
  2. Step 2: Convert to fraction form
    6,492.15/9,734.58 = 2,109.24/x
  3. Step 3: Cross multiply
    6,492.15x = 9,734.58 × 2,109.24
  4. Step 4: Simplify right side
    6,492.15x = 20,532,565.52
  5. Step 5: Solve for x
    x = 20,532,565.52/6,492.15
  6. Step 6: Final answer
    x = 3,162.68

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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.