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Finding the Fourth Proportional to 9,574.02, 13,211.64 and 5,382

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Solution

The fourth proportional to 9,574.02, 13,211.64 and 5,382 is: 7,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.02 : 13,211.64 = 5,382 : x
  2. Step 2: Convert to fraction form
    9,574.02/13,211.64 = 5,382/x
  3. Step 3: Cross multiply
    9,574.02x = 13,211.64 × 5,382
  4. Step 4: Simplify right side
    9,574.02x = 71,105,046.48
  5. Step 5: Solve for x
    x = 71,105,046.48/9,574.02
  6. Step 6: Final answer
    x = 7,426.87

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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.