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Finding the Fourth Proportional to 9,494.95, 13,106.52 and 5,718.27

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Solution

The fourth proportional to 9,494.95, 13,106.52 and 5,718.27 is: 7,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.95 : 13,106.52 = 5,718.27 : x
  2. Step 2: Convert to fraction form
    9,494.95/13,106.52 = 5,718.27/x
  3. Step 3: Cross multiply
    9,494.95x = 13,106.52 × 5,718.27
  4. Step 4: Simplify right side
    9,494.95x = 74,946,640.45
  5. Step 5: Solve for x
    x = 74,946,640.45/9,494.95
  6. Step 6: Final answer
    x = 7,893.32

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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.