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Finding the Fourth Proportional to 9,411.68, 12,988.02 and 5,162.98

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Solution

The fourth proportional to 9,411.68, 12,988.02 and 5,162.98 is: 7,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.68 : 12,988.02 = 5,162.98 : x
  2. Step 2: Convert to fraction form
    9,411.68/12,988.02 = 5,162.98/x
  3. Step 3: Cross multiply
    9,411.68x = 12,988.02 × 5,162.98
  4. Step 4: Simplify right side
    9,411.68x = 67,056,887.50
  5. Step 5: Solve for x
    x = 67,056,887.50/9,411.68
  6. Step 6: Final answer
    x = 7,124.86

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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.