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Finding the Fourth Proportional to 9,681.30, 14,512.77 and 3,104.10

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Solution

The fourth proportional to 9,681.30, 14,512.77 and 3,104.10 is: 4,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.30 : 14,512.77 = 3,104.10 : x
  2. Step 2: Convert to fraction form
    9,681.30/14,512.77 = 3,104.10/x
  3. Step 3: Cross multiply
    9,681.30x = 14,512.77 × 3,104.10
  4. Step 4: Simplify right side
    9,681.30x = 45,049,089.36
  5. Step 5: Solve for x
    x = 45,049,089.36/9,681.30
  6. Step 6: Final answer
    x = 4,653.21

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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.