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Finding the Fourth Proportional to 7,008, 9,671.04 and 3,864.27

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Solution

The fourth proportional to 7,008, 9,671.04 and 3,864.27 is: 5,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008 : 9,671.04 = 3,864.27 : x
  2. Step 2: Convert to fraction form
    7,008/9,671.04 = 3,864.27/x
  3. Step 3: Cross multiply
    7,008x = 9,671.04 × 3,864.27
  4. Step 4: Simplify right side
    7,008x = 37,371,509.74
  5. Step 5: Solve for x
    x = 37,371,509.74/7,008
  6. Step 6: Final answer
    x = 5,332.69

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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.