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Finding the Fourth Proportional to 9,657, 13,326.66 and 5,241

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Solution

The fourth proportional to 9,657, 13,326.66 and 5,241 is: 7,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657 : 13,326.66 = 5,241 : x
  2. Step 2: Convert to fraction form
    9,657/13,326.66 = 5,241/x
  3. Step 3: Cross multiply
    9,657x = 13,326.66 × 5,241
  4. Step 4: Simplify right side
    9,657x = 69,845,025.06
  5. Step 5: Solve for x
    x = 69,845,025.06/9,657
  6. Step 6: Final answer
    x = 7,232.58

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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.