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Finding the Fourth Proportional to 9,588.39, 14,381.63 and 3,014.40

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Solution

The fourth proportional to 9,588.39, 14,381.63 and 3,014.40 is: 4,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.39 : 14,381.63 = 3,014.40 : x
  2. Step 2: Convert to fraction form
    9,588.39/14,381.63 = 3,014.40/x
  3. Step 3: Cross multiply
    9,588.39x = 14,381.63 × 3,014.40
  4. Step 4: Simplify right side
    9,588.39x = 43,351,921.10
  5. Step 5: Solve for x
    x = 43,351,921.10/9,588.39
  6. Step 6: Final answer
    x = 4,521.30

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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.