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Finding the Fourth Proportional to 9,824.14, 13,557 and 5,844.34

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Solution

The fourth proportional to 9,824.14, 13,557 and 5,844.34 is: 8,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.14 : 13,557 = 5,844.34 : x
  2. Step 2: Convert to fraction form
    9,824.14/13,557 = 5,844.34/x
  3. Step 3: Cross multiply
    9,824.14x = 13,557 × 5,844.34
  4. Step 4: Simplify right side
    9,824.14x = 79,231,717.38
  5. Step 5: Solve for x
    x = 79,231,717.38/9,824.14
  6. Step 6: Final answer
    x = 8,065.00

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Why These Related Problems?

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