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Finding the Fourth Proportional to 9,715.95, 13,406.13 and 5,466.44

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Solution

The fourth proportional to 9,715.95, 13,406.13 and 5,466.44 is: 7,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.95 : 13,406.13 = 5,466.44 : x
  2. Step 2: Convert to fraction form
    9,715.95/13,406.13 = 5,466.44/x
  3. Step 3: Cross multiply
    9,715.95x = 13,406.13 × 5,466.44
  4. Step 4: Simplify right side
    9,715.95x = 73,283,838.79
  5. Step 5: Solve for x
    x = 73,283,838.79/9,715.95
  6. Step 6: Final answer
    x = 7,542.63

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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.