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Finding the Fourth Proportional to 9,587.40, 14,381.09 and 3,014.16

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Solution

The fourth proportional to 9,587.40, 14,381.09 and 3,014.16 is: 4,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.40 : 14,381.09 = 3,014.16 : x
  2. Step 2: Convert to fraction form
    9,587.40/14,381.09 = 3,014.16/x
  3. Step 3: Cross multiply
    9,587.40x = 14,381.09 × 3,014.16
  4. Step 4: Simplify right side
    9,587.40x = 43,346,906.23
  5. Step 5: Solve for x
    x = 43,346,906.23/9,587.40
  6. Step 6: Final answer
    x = 4,521.24

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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.