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Finding the Fourth Proportional to 9,788.79, 14,683.14 and 2,393.29

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Solution

The fourth proportional to 9,788.79, 14,683.14 and 2,393.29 is: 3,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.79 : 14,683.14 = 2,393.29 : x
  2. Step 2: Convert to fraction form
    9,788.79/14,683.14 = 2,393.29/x
  3. Step 3: Cross multiply
    9,788.79x = 14,683.14 × 2,393.29
  4. Step 4: Simplify right side
    9,788.79x = 35,141,012.13
  5. Step 5: Solve for x
    x = 35,141,012.13/9,788.79
  6. Step 6: Final answer
    x = 3,589.92

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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.