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Finding the Fourth Proportional to 9,710.66, 14,552.19 and 4,432.70

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Solution

The fourth proportional to 9,710.66, 14,552.19 and 4,432.70 is: 6,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.66 : 14,552.19 = 4,432.70 : x
  2. Step 2: Convert to fraction form
    9,710.66/14,552.19 = 4,432.70/x
  3. Step 3: Cross multiply
    9,710.66x = 14,552.19 × 4,432.70
  4. Step 4: Simplify right side
    9,710.66x = 64,505,419.85
  5. Step 5: Solve for x
    x = 64,505,419.85/9,710.66
  6. Step 6: Final answer
    x = 6,642.75

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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.