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Finding the Fourth Proportional to 9,690.78, 14,534.79 and 3,116.13

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Solution

The fourth proportional to 9,690.78, 14,534.79 and 3,116.13 is: 4,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.78 : 14,534.79 = 3,116.13 : x
  2. Step 2: Convert to fraction form
    9,690.78/14,534.79 = 3,116.13/x
  3. Step 3: Cross multiply
    9,690.78x = 14,534.79 × 3,116.13
  4. Step 4: Simplify right side
    9,690.78x = 45,292,295.16
  5. Step 5: Solve for x
    x = 45,292,295.16/9,690.78
  6. Step 6: Final answer
    x = 4,673.75

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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.