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Finding the Fourth Proportional to 9,725.40, 14,590.41 and 3,151.59

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Solution

The fourth proportional to 9,725.40, 14,590.41 and 3,151.59 is: 4,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.40 : 14,590.41 = 3,151.59 : x
  2. Step 2: Convert to fraction form
    9,725.40/14,590.41 = 3,151.59/x
  3. Step 3: Cross multiply
    9,725.40x = 14,590.41 × 3,151.59
  4. Step 4: Simplify right side
    9,725.40x = 45,982,990.25
  5. Step 5: Solve for x
    x = 45,982,990.25/9,725.40
  6. Step 6: Final answer
    x = 4,728.13

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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.