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Finding the Fourth Proportional to 6,293.76, 9,429.12 and 4,632

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Solution

The fourth proportional to 6,293.76, 9,429.12 and 4,632 is: 6,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.76 : 9,429.12 = 4,632 : x
  2. Step 2: Convert to fraction form
    6,293.76/9,429.12 = 4,632/x
  3. Step 3: Cross multiply
    6,293.76x = 9,429.12 × 4,632
  4. Step 4: Simplify right side
    6,293.76x = 43,675,683.84
  5. Step 5: Solve for x
    x = 43,675,683.84/6,293.76
  6. Step 6: Final answer
    x = 6,939.52

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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.