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Finding the Fourth Proportional to 9,858.90, 13,597.59 and 6,322.38

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Solution

The fourth proportional to 9,858.90, 13,597.59 and 6,322.38 is: 8,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.90 : 13,597.59 = 6,322.38 : x
  2. Step 2: Convert to fraction form
    9,858.90/13,597.59 = 6,322.38/x
  3. Step 3: Cross multiply
    9,858.90x = 13,597.59 × 6,322.38
  4. Step 4: Simplify right side
    9,858.90x = 85,969,131.06
  5. Step 5: Solve for x
    x = 85,969,131.06/9,858.90
  6. Step 6: Final answer
    x = 8,719.95

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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.