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Finding the Fourth Proportional to 9,837, 13,572.18 and 5,856.12

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Solution

The fourth proportional to 9,837, 13,572.18 and 5,856.12 is: 8,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837 : 13,572.18 = 5,856.12 : x
  2. Step 2: Convert to fraction form
    9,837/13,572.18 = 5,856.12/x
  3. Step 3: Cross multiply
    9,837x = 13,572.18 × 5,856.12
  4. Step 4: Simplify right side
    9,837x = 79,480,314.74
  5. Step 5: Solve for x
    x = 79,480,314.74/9,837
  6. Step 6: Final answer
    x = 8,079.73

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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.