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Finding the Fourth Proportional to 6,975.66, 9,625.49 and 4,322.10

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Solution

The fourth proportional to 6,975.66, 9,625.49 and 4,322.10 is: 5,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.66 : 9,625.49 = 4,322.10 : x
  2. Step 2: Convert to fraction form
    6,975.66/9,625.49 = 4,322.10/x
  3. Step 3: Cross multiply
    6,975.66x = 9,625.49 × 4,322.10
  4. Step 4: Simplify right side
    6,975.66x = 41,602,308.72
  5. Step 5: Solve for x
    x = 41,602,308.72/6,975.66
  6. Step 6: Final answer
    x = 5,963.92

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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.