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Finding the Fourth Proportional to 9,568.88, 14,355.41 and 4,019.06

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Solution

The fourth proportional to 9,568.88, 14,355.41 and 4,019.06 is: 6,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.88 : 14,355.41 = 4,019.06 : x
  2. Step 2: Convert to fraction form
    9,568.88/14,355.41 = 4,019.06/x
  3. Step 3: Cross multiply
    9,568.88x = 14,355.41 × 4,019.06
  4. Step 4: Simplify right side
    9,568.88x = 57,695,254.11
  5. Step 5: Solve for x
    x = 57,695,254.11/9,568.88
  6. Step 6: Final answer
    x = 6,029.47

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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.