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Finding the Fourth Proportional to 9,678.69, 14,515.20 and 3,440.07

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Solution

The fourth proportional to 9,678.69, 14,515.20 and 3,440.07 is: 5,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.69 : 14,515.20 = 3,440.07 : x
  2. Step 2: Convert to fraction form
    9,678.69/14,515.20 = 3,440.07/x
  3. Step 3: Cross multiply
    9,678.69x = 14,515.20 × 3,440.07
  4. Step 4: Simplify right side
    9,678.69x = 49,933,304.06
  5. Step 5: Solve for x
    x = 49,933,304.06/9,678.69
  6. Step 6: Final answer
    x = 5,159.10

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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.