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Finding the Fourth Proportional to 6,526.63, 9,006.80 and 3,542.48

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Solution

The fourth proportional to 6,526.63, 9,006.80 and 3,542.48 is: 4,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.63 : 9,006.80 = 3,542.48 : x
  2. Step 2: Convert to fraction form
    6,526.63/9,006.80 = 3,542.48/x
  3. Step 3: Cross multiply
    6,526.63x = 9,006.80 × 3,542.48
  4. Step 4: Simplify right side
    6,526.63x = 31,906,408.86
  5. Step 5: Solve for x
    x = 31,906,408.86/6,526.63
  6. Step 6: Final answer
    x = 4,888.65

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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.