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Finding the Fourth Proportional to 9,934.08, 14,881.44 and 6,806.40

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Solution

The fourth proportional to 9,934.08, 14,881.44 and 6,806.40 is: 10,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.08 : 14,881.44 = 6,806.40 : x
  2. Step 2: Convert to fraction form
    9,934.08/14,881.44 = 6,806.40/x
  3. Step 3: Cross multiply
    9,934.08x = 14,881.44 × 6,806.40
  4. Step 4: Simplify right side
    9,934.08x = 101,289,033.22
  5. Step 5: Solve for x
    x = 101,289,033.22/9,934.08
  6. Step 6: Final answer
    x = 10,196.12

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