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Finding the Fourth Proportional to 9,722.68, 13,415.16 and 6,191.08

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Solution

The fourth proportional to 9,722.68, 13,415.16 and 6,191.08 is: 8,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.68 : 13,415.16 = 6,191.08 : x
  2. Step 2: Convert to fraction form
    9,722.68/13,415.16 = 6,191.08/x
  3. Step 3: Cross multiply
    9,722.68x = 13,415.16 × 6,191.08
  4. Step 4: Simplify right side
    9,722.68x = 83,054,328.77
  5. Step 5: Solve for x
    x = 83,054,328.77/9,722.68
  6. Step 6: Final answer
    x = 8,542.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.