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Finding the Fourth Proportional to 9,580.77, 14,353.86 and 4,024.17

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Solution

The fourth proportional to 9,580.77, 14,353.86 and 4,024.17 is: 6,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.77 : 14,353.86 = 4,024.17 : x
  2. Step 2: Convert to fraction form
    9,580.77/14,353.86 = 4,024.17/x
  3. Step 3: Cross multiply
    9,580.77x = 14,353.86 × 4,024.17
  4. Step 4: Simplify right side
    9,580.77x = 57,762,372.80
  5. Step 5: Solve for x
    x = 57,762,372.80/9,580.77
  6. Step 6: Final answer
    x = 6,028.99

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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.