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Finding the Fourth Proportional to 9,287.40, 13,914.90 and 7,737.36

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Solution

The fourth proportional to 9,287.40, 13,914.90 and 7,737.36 is: 11,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.40 : 13,914.90 = 7,737.36 : x
  2. Step 2: Convert to fraction form
    9,287.40/13,914.90 = 7,737.36/x
  3. Step 3: Cross multiply
    9,287.40x = 13,914.90 × 7,737.36
  4. Step 4: Simplify right side
    9,287.40x = 107,664,590.66
  5. Step 5: Solve for x
    x = 107,664,590.66/9,287.40
  6. Step 6: Final answer
    x = 11,592.54

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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.