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Finding the Fourth Proportional to 9,677.70, 14,505.21 and 4,472.64

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Solution

The fourth proportional to 9,677.70, 14,505.21 and 4,472.64 is: 6,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.70 : 14,505.21 = 4,472.64 : x
  2. Step 2: Convert to fraction form
    9,677.70/14,505.21 = 4,472.64/x
  3. Step 3: Cross multiply
    9,677.70x = 14,505.21 × 4,472.64
  4. Step 4: Simplify right side
    9,677.70x = 64,876,582.45
  5. Step 5: Solve for x
    x = 64,876,582.45/9,677.70
  6. Step 6: Final answer
    x = 6,703.72

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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.