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Finding the Fourth Proportional to 9,544.61, 14,317.89 and 3,304.61

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Solution

The fourth proportional to 9,544.61, 14,317.89 and 3,304.61 is: 4,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.61 : 14,317.89 = 3,304.61 : x
  2. Step 2: Convert to fraction form
    9,544.61/14,317.89 = 3,304.61/x
  3. Step 3: Cross multiply
    9,544.61x = 14,317.89 × 3,304.61
  4. Step 4: Simplify right side
    9,544.61x = 47,315,041.61
  5. Step 5: Solve for x
    x = 47,315,041.61/9,544.61
  6. Step 6: Final answer
    x = 4,957.25

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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.