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Finding the Fourth Proportional to 9,699.50, 13,384.68 and 5,719.70

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Solution

The fourth proportional to 9,699.50, 13,384.68 and 5,719.70 is: 7,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.50 : 13,384.68 = 5,719.70 : x
  2. Step 2: Convert to fraction form
    9,699.50/13,384.68 = 5,719.70/x
  3. Step 3: Cross multiply
    9,699.50x = 13,384.68 × 5,719.70
  4. Step 4: Simplify right side
    9,699.50x = 76,556,354.20
  5. Step 5: Solve for x
    x = 76,556,354.20/9,699.50
  6. Step 6: Final answer
    x = 7,892.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.