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Finding the Fourth Proportional to 9,814.65, 14,701.43 and 7,724.75

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Solution

The fourth proportional to 9,814.65, 14,701.43 and 7,724.75 is: 11,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.65 : 14,701.43 = 7,724.75 : x
  2. Step 2: Convert to fraction form
    9,814.65/14,701.43 = 7,724.75/x
  3. Step 3: Cross multiply
    9,814.65x = 14,701.43 × 7,724.75
  4. Step 4: Simplify right side
    9,814.65x = 113,564,759.26
  5. Step 5: Solve for x
    x = 113,564,759.26/9,814.65
  6. Step 6: Final answer
    x = 11,570.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.