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Finding the Fourth Proportional to 6,209.52, 8,557.92 and 5,033.40

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Solution

The fourth proportional to 6,209.52, 8,557.92 and 5,033.40 is: 6,937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.52 : 8,557.92 = 5,033.40 : x
  2. Step 2: Convert to fraction form
    6,209.52/8,557.92 = 5,033.40/x
  3. Step 3: Cross multiply
    6,209.52x = 8,557.92 × 5,033.40
  4. Step 4: Simplify right side
    6,209.52x = 43,075,434.53
  5. Step 5: Solve for x
    x = 43,075,434.53/6,209.52
  6. Step 6: Final answer
    x = 6,937.00

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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.