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Finding the Fourth Proportional to 9,275.86, 13,862.85 and 6,782.29

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Solution

The fourth proportional to 9,275.86, 13,862.85 and 6,782.29 is: 10,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.86 : 13,862.85 = 6,782.29 : x
  2. Step 2: Convert to fraction form
    9,275.86/13,862.85 = 6,782.29/x
  3. Step 3: Cross multiply
    9,275.86x = 13,862.85 × 6,782.29
  4. Step 4: Simplify right side
    9,275.86x = 94,021,905.05
  5. Step 5: Solve for x
    x = 94,021,905.05/9,275.86
  6. Step 6: Final answer
    x = 10,136.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.