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Finding the Fourth Proportional to 9,798.94, 13,522.63 and 5,322.73

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Solution

The fourth proportional to 9,798.94, 13,522.63 and 5,322.73 is: 7,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.94 : 13,522.63 = 5,322.73 : x
  2. Step 2: Convert to fraction form
    9,798.94/13,522.63 = 5,322.73/x
  3. Step 3: Cross multiply
    9,798.94x = 13,522.63 × 5,322.73
  4. Step 4: Simplify right side
    9,798.94x = 71,977,308.38
  5. Step 5: Solve for x
    x = 71,977,308.38/9,798.94
  6. Step 6: Final answer
    x = 7,345.42

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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.