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Finding the Fourth Proportional to 6,537.84, 9,017.68 and 5,458.08

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Solution

The fourth proportional to 6,537.84, 9,017.68 and 5,458.08 is: 7,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.84 : 9,017.68 = 5,458.08 : x
  2. Step 2: Convert to fraction form
    6,537.84/9,017.68 = 5,458.08/x
  3. Step 3: Cross multiply
    6,537.84x = 9,017.68 × 5,458.08
  4. Step 4: Simplify right side
    6,537.84x = 49,219,218.85
  5. Step 5: Solve for x
    x = 49,219,218.85/6,537.84
  6. Step 6: Final answer
    x = 7,528.36

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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.