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Finding the Fourth Proportional to 9,696.68, 14,535.78 and 3,118.26

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Solution

The fourth proportional to 9,696.68, 14,535.78 and 3,118.26 is: 4,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.68 : 14,535.78 = 3,118.26 : x
  2. Step 2: Convert to fraction form
    9,696.68/14,535.78 = 3,118.26/x
  3. Step 3: Cross multiply
    9,696.68x = 14,535.78 × 3,118.26
  4. Step 4: Simplify right side
    9,696.68x = 45,326,341.34
  5. Step 5: Solve for x
    x = 45,326,341.34/9,696.68
  6. Step 6: Final answer
    x = 4,674.42

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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.