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Finding the Fourth Proportional to 9,678.70, 14,534.61 and 5,952.36

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Solution

The fourth proportional to 9,678.70, 14,534.61 and 5,952.36 is: 8,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.70 : 14,534.61 = 5,952.36 : x
  2. Step 2: Convert to fraction form
    9,678.70/14,534.61 = 5,952.36/x
  3. Step 3: Cross multiply
    9,678.70x = 14,534.61 × 5,952.36
  4. Step 4: Simplify right side
    9,678.70x = 86,515,231.18
  5. Step 5: Solve for x
    x = 86,515,231.18/9,678.70
  6. Step 6: Final answer
    x = 8,938.72

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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.