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Finding the Fourth Proportional to 6,937.50, 9,574.01 and 3,953.26

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Solution

The fourth proportional to 6,937.50, 9,574.01 and 3,953.26 is: 5,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.50 : 9,574.01 = 3,953.26 : x
  2. Step 2: Convert to fraction form
    6,937.50/9,574.01 = 3,953.26/x
  3. Step 3: Cross multiply
    6,937.50x = 9,574.01 × 3,953.26
  4. Step 4: Simplify right side
    6,937.50x = 37,848,580.04
  5. Step 5: Solve for x
    x = 37,848,580.04/6,937.50
  6. Step 6: Final answer
    x = 5,455.65

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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.