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Finding the Fourth Proportional to 9,713.88, 14,570.82 and 2,788.38

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Solution

The fourth proportional to 9,713.88, 14,570.82 and 2,788.38 is: 4,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.88 : 14,570.82 = 2,788.38 : x
  2. Step 2: Convert to fraction form
    9,713.88/14,570.82 = 2,788.38/x
  3. Step 3: Cross multiply
    9,713.88x = 14,570.82 × 2,788.38
  4. Step 4: Simplify right side
    9,713.88x = 40,628,983.07
  5. Step 5: Solve for x
    x = 40,628,983.07/9,713.88
  6. Step 6: Final answer
    x = 4,182.57

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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.