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Finding the Fourth Proportional to 9,161.47, 12,642.82 and 4,969.72

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Solution

The fourth proportional to 9,161.47, 12,642.82 and 4,969.72 is: 6,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.47 : 12,642.82 = 4,969.72 : x
  2. Step 2: Convert to fraction form
    9,161.47/12,642.82 = 4,969.72/x
  3. Step 3: Cross multiply
    9,161.47x = 12,642.82 × 4,969.72
  4. Step 4: Simplify right side
    9,161.47x = 62,831,275.41
  5. Step 5: Solve for x
    x = 62,831,275.41/9,161.47
  6. Step 6: Final answer
    x = 6,858.21

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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.