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Finding the Fourth Proportional to 9,853.17, 13,597.36 and 6,316.38

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Solution

The fourth proportional to 9,853.17, 13,597.36 and 6,316.38 is: 8,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.17 : 13,597.36 = 6,316.38 : x
  2. Step 2: Convert to fraction form
    9,853.17/13,597.36 = 6,316.38/x
  3. Step 3: Cross multiply
    9,853.17x = 13,597.36 × 6,316.38
  4. Step 4: Simplify right side
    9,853.17x = 85,886,092.76
  5. Step 5: Solve for x
    x = 85,886,092.76/9,853.17
  6. Step 6: Final answer
    x = 8,716.60

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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.