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Finding the Fourth Proportional to 9,656.25, 13,326.45 and 5,465.31

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Solution

The fourth proportional to 9,656.25, 13,326.45 and 5,465.31 is: 7,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.25 : 13,326.45 = 5,465.31 : x
  2. Step 2: Convert to fraction form
    9,656.25/13,326.45 = 5,465.31/x
  3. Step 3: Cross multiply
    9,656.25x = 13,326.45 × 5,465.31
  4. Step 4: Simplify right side
    9,656.25x = 72,833,180.45
  5. Step 5: Solve for x
    x = 72,833,180.45/9,656.25
  6. Step 6: Final answer
    x = 7,542.59

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