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Finding the Fourth Proportional to 9,598.57, 14,401.97 and 5,219.17

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Solution

The fourth proportional to 9,598.57, 14,401.97 and 5,219.17 is: 7,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.57 : 14,401.97 = 5,219.17 : x
  2. Step 2: Convert to fraction form
    9,598.57/14,401.97 = 5,219.17/x
  3. Step 3: Cross multiply
    9,598.57x = 14,401.97 × 5,219.17
  4. Step 4: Simplify right side
    9,598.57x = 75,166,329.76
  5. Step 5: Solve for x
    x = 75,166,329.76/9,598.57
  6. Step 6: Final answer
    x = 7,830.99

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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.