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Finding the Fourth Proportional to 9,152.96, 12,641.45 and 6,163.59

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Solution

The fourth proportional to 9,152.96, 12,641.45 and 6,163.59 is: 8,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.96 : 12,641.45 = 6,163.59 : x
  2. Step 2: Convert to fraction form
    9,152.96/12,641.45 = 6,163.59/x
  3. Step 3: Cross multiply
    9,152.96x = 12,641.45 × 6,163.59
  4. Step 4: Simplify right side
    9,152.96x = 77,916,730.21
  5. Step 5: Solve for x
    x = 77,916,730.21/9,152.96
  6. Step 6: Final answer
    x = 8,512.74

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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.