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Finding the Fourth Proportional to 6,320.32, 9,483.68 and 4,264

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Solution

The fourth proportional to 6,320.32, 9,483.68 and 4,264 is: 6,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.32 : 9,483.68 = 4,264 : x
  2. Step 2: Convert to fraction form
    6,320.32/9,483.68 = 4,264/x
  3. Step 3: Cross multiply
    6,320.32x = 9,483.68 × 4,264
  4. Step 4: Simplify right side
    6,320.32x = 40,438,411.52
  5. Step 5: Solve for x
    x = 40,438,411.52/6,320.32
  6. Step 6: Final answer
    x = 6,398.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.