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Finding the Fourth Proportional to 9,924.99, 13,697.45 and 5,676.40

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Solution

The fourth proportional to 9,924.99, 13,697.45 and 5,676.40 is: 7,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.99 : 13,697.45 = 5,676.40 : x
  2. Step 2: Convert to fraction form
    9,924.99/13,697.45 = 5,676.40/x
  3. Step 3: Cross multiply
    9,924.99x = 13,697.45 × 5,676.40
  4. Step 4: Simplify right side
    9,924.99x = 77,752,285.66
  5. Step 5: Solve for x
    x = 77,752,285.66/9,924.99
  6. Step 6: Final answer
    x = 7,833.99

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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.