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Finding the Fourth Proportional to 9,881.70, 14,806.09 and 6,953.85

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Solution

The fourth proportional to 9,881.70, 14,806.09 and 6,953.85 is: 10,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.70 : 14,806.09 = 6,953.85 : x
  2. Step 2: Convert to fraction form
    9,881.70/14,806.09 = 6,953.85/x
  3. Step 3: Cross multiply
    9,881.70x = 14,806.09 × 6,953.85
  4. Step 4: Simplify right side
    9,881.70x = 102,959,328.95
  5. Step 5: Solve for x
    x = 102,959,328.95/9,881.70
  6. Step 6: Final answer
    x = 10,419.19

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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.