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Finding the Fourth Proportional to 9,690.81, 14,534.84 and 3,116.14

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Solution

The fourth proportional to 9,690.81, 14,534.84 and 3,116.14 is: 4,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.81 : 14,534.84 = 3,116.14 : x
  2. Step 2: Convert to fraction form
    9,690.81/14,534.84 = 3,116.14/x
  3. Step 3: Cross multiply
    9,690.81x = 14,534.84 × 3,116.14
  4. Step 4: Simplify right side
    9,690.81x = 45,292,508.06
  5. Step 5: Solve for x
    x = 45,292,508.06/9,690.81
  6. Step 6: Final answer
    x = 4,673.76

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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.