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Finding the Fourth Proportional to 9,701.54, 14,555 and 3,862.25

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Solution

The fourth proportional to 9,701.54, 14,555 and 3,862.25 is: 5,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.54 : 14,555 = 3,862.25 : x
  2. Step 2: Convert to fraction form
    9,701.54/14,555 = 3,862.25/x
  3. Step 3: Cross multiply
    9,701.54x = 14,555 × 3,862.25
  4. Step 4: Simplify right side
    9,701.54x = 56,215,048.75
  5. Step 5: Solve for x
    x = 56,215,048.75/9,701.54
  6. Step 6: Final answer
    x = 5,794.45

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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.