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Finding the Fourth Proportional to 6,526.32, 9,006.28 and 3,542.14

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Solution

The fourth proportional to 6,526.32, 9,006.28 and 3,542.14 is: 4,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.32 : 9,006.28 = 3,542.14 : x
  2. Step 2: Convert to fraction form
    6,526.32/9,006.28 = 3,542.14/x
  3. Step 3: Cross multiply
    6,526.32x = 9,006.28 × 3,542.14
  4. Step 4: Simplify right side
    6,526.32x = 31,901,537.14
  5. Step 5: Solve for x
    x = 31,901,537.14/6,526.32
  6. Step 6: Final answer
    x = 4,888.14

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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.