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Finding the Fourth Proportional to 6,937.91, 9,564.71 and 4,696.23

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Solution

The fourth proportional to 6,937.91, 9,564.71 and 4,696.23 is: 6,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.91 : 9,564.71 = 4,696.23 : x
  2. Step 2: Convert to fraction form
    6,937.91/9,564.71 = 4,696.23/x
  3. Step 3: Cross multiply
    6,937.91x = 9,564.71 × 4,696.23
  4. Step 4: Simplify right side
    6,937.91x = 44,918,054.56
  5. Step 5: Solve for x
    x = 44,918,054.56/6,937.91
  6. Step 6: Final answer
    x = 6,474.30

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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.