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Finding the Fourth Proportional to 6,972, 9,621.12 and 3,785.16

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Solution

The fourth proportional to 6,972, 9,621.12 and 3,785.16 is: 5,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 9,621.12 = 3,785.16 : x
  2. Step 2: Convert to fraction form
    6,972/9,621.12 = 3,785.16/x
  3. Step 3: Cross multiply
    6,972x = 9,621.12 × 3,785.16
  4. Step 4: Simplify right side
    6,972x = 36,417,478.58
  5. Step 5: Solve for x
    x = 36,417,478.58/6,972
  6. Step 6: Final answer
    x = 5,223.39

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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.