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Finding the Fourth Proportional to 9,685.14, 13,368.39 and 6,322.02

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Solution

The fourth proportional to 9,685.14, 13,368.39 and 6,322.02 is: 8,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.14 : 13,368.39 = 6,322.02 : x
  2. Step 2: Convert to fraction form
    9,685.14/13,368.39 = 6,322.02/x
  3. Step 3: Cross multiply
    9,685.14x = 13,368.39 × 6,322.02
  4. Step 4: Simplify right side
    9,685.14x = 84,515,228.95
  5. Step 5: Solve for x
    x = 84,515,228.95/9,685.14
  6. Step 6: Final answer
    x = 8,726.28

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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.