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Finding the Fourth Proportional to 9,411.50, 12,988.28 and 5,219.76

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Solution

The fourth proportional to 9,411.50, 12,988.28 and 5,219.76 is: 7,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.50 : 12,988.28 = 5,219.76 : x
  2. Step 2: Convert to fraction form
    9,411.50/12,988.28 = 5,219.76/x
  3. Step 3: Cross multiply
    9,411.50x = 12,988.28 × 5,219.76
  4. Step 4: Simplify right side
    9,411.50x = 67,795,704.41
  5. Step 5: Solve for x
    x = 67,795,704.41/9,411.50
  6. Step 6: Final answer
    x = 7,203.50

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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.