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Finding the Fourth Proportional to 6,432.66, 9,650.43 and 2,970.18

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Solution

The fourth proportional to 6,432.66, 9,650.43 and 2,970.18 is: 4,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.66 : 9,650.43 = 2,970.18 : x
  2. Step 2: Convert to fraction form
    6,432.66/9,650.43 = 2,970.18/x
  3. Step 3: Cross multiply
    6,432.66x = 9,650.43 × 2,970.18
  4. Step 4: Simplify right side
    6,432.66x = 28,663,514.18
  5. Step 5: Solve for x
    x = 28,663,514.18/6,432.66
  6. Step 6: Final answer
    x = 4,455.93

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