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Finding the Fourth Proportional to 9,646.25, 13,322.76 and 6,496.97

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Solution

The fourth proportional to 9,646.25, 13,322.76 and 6,496.97 is: 8,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.25 : 13,322.76 = 6,496.97 : x
  2. Step 2: Convert to fraction form
    9,646.25/13,322.76 = 6,496.97/x
  3. Step 3: Cross multiply
    9,646.25x = 13,322.76 × 6,496.97
  4. Step 4: Simplify right side
    9,646.25x = 86,557,572.04
  5. Step 5: Solve for x
    x = 86,557,572.04/9,646.25
  6. Step 6: Final answer
    x = 8,973.18

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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.