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Finding the Fourth Proportional to 9,579.56, 14,378.03 and 4,902.80

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Solution

The fourth proportional to 9,579.56, 14,378.03 and 4,902.80 is: 7,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.56 : 14,378.03 = 4,902.80 : x
  2. Step 2: Convert to fraction form
    9,579.56/14,378.03 = 4,902.80/x
  3. Step 3: Cross multiply
    9,579.56x = 14,378.03 × 4,902.80
  4. Step 4: Simplify right side
    9,579.56x = 70,492,605.48
  5. Step 5: Solve for x
    x = 70,492,605.48/9,579.56
  6. Step 6: Final answer
    x = 7,358.65

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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.