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Finding the Fourth Proportional to 9,713.56, 14,569.12 and 3,874.28

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Solution

The fourth proportional to 9,713.56, 14,569.12 and 3,874.28 is: 5,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.56 : 14,569.12 = 3,874.28 : x
  2. Step 2: Convert to fraction form
    9,713.56/14,569.12 = 3,874.28/x
  3. Step 3: Cross multiply
    9,713.56x = 14,569.12 × 3,874.28
  4. Step 4: Simplify right side
    9,713.56x = 56,444,850.23
  5. Step 5: Solve for x
    x = 56,444,850.23/9,713.56
  6. Step 6: Final answer
    x = 5,810.93

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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.