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Finding the Fourth Proportional to 9,719, 14,580.98 and 2,793.52

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Solution

The fourth proportional to 9,719, 14,580.98 and 2,793.52 is: 4,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719 : 14,580.98 = 2,793.52 : x
  2. Step 2: Convert to fraction form
    9,719/14,580.98 = 2,793.52/x
  3. Step 3: Cross multiply
    9,719x = 14,580.98 × 2,793.52
  4. Step 4: Simplify right side
    9,719x = 40,732,259.25
  5. Step 5: Solve for x
    x = 40,732,259.25/9,719
  6. Step 6: Final answer
    x = 4,190.99

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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.