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Finding the Fourth Proportional to 9,588.57, 14,383.05 and 3,014.74

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Solution

The fourth proportional to 9,588.57, 14,383.05 and 3,014.74 is: 4,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.57 : 14,383.05 = 3,014.74 : x
  2. Step 2: Convert to fraction form
    9,588.57/14,383.05 = 3,014.74/x
  3. Step 3: Cross multiply
    9,588.57x = 14,383.05 × 3,014.74
  4. Step 4: Simplify right side
    9,588.57x = 43,361,156.16
  5. Step 5: Solve for x
    x = 43,361,156.16/9,588.57
  6. Step 6: Final answer
    x = 4,522.17

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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.