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Finding the Fourth Proportional to 9,275.84, 12,800.76 and 5,084

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Solution

The fourth proportional to 9,275.84, 12,800.76 and 5,084 is: 7,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.84 : 12,800.76 = 5,084 : x
  2. Step 2: Convert to fraction form
    9,275.84/12,800.76 = 5,084/x
  3. Step 3: Cross multiply
    9,275.84x = 12,800.76 × 5,084
  4. Step 4: Simplify right side
    9,275.84x = 65,079,063.84
  5. Step 5: Solve for x
    x = 65,079,063.84/9,275.84
  6. Step 6: Final answer
    x = 7,015.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.