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Finding the Fourth Proportional to 9,820.79, 14,737.40 and 3,580.19

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Solution

The fourth proportional to 9,820.79, 14,737.40 and 3,580.19 is: 5,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.79 : 14,737.40 = 3,580.19 : x
  2. Step 2: Convert to fraction form
    9,820.79/14,737.40 = 3,580.19/x
  3. Step 3: Cross multiply
    9,820.79x = 14,737.40 × 3,580.19
  4. Step 4: Simplify right side
    9,820.79x = 52,762,692.11
  5. Step 5: Solve for x
    x = 52,762,692.11/9,820.79
  6. Step 6: Final answer
    x = 5,372.55

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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.