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Finding the Fourth Proportional to 9,817.78, 14,615.62 and 9,759.39

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Solution

The fourth proportional to 9,817.78, 14,615.62 and 9,759.39 is: 14,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.78 : 14,615.62 = 9,759.39 : x
  2. Step 2: Convert to fraction form
    9,817.78/14,615.62 = 9,759.39/x
  3. Step 3: Cross multiply
    9,817.78x = 14,615.62 × 9,759.39
  4. Step 4: Simplify right side
    9,817.78x = 142,639,535.67
  5. Step 5: Solve for x
    x = 142,639,535.67/9,817.78
  6. Step 6: Final answer
    x = 14,528.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.