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Finding the Fourth Proportional to 6,526.85, 9,007.06 and 3,542.69

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Solution

The fourth proportional to 6,526.85, 9,007.06 and 3,542.69 is: 4,888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.85 : 9,007.06 = 3,542.69 : x
  2. Step 2: Convert to fraction form
    6,526.85/9,007.06 = 3,542.69/x
  3. Step 3: Cross multiply
    6,526.85x = 9,007.06 × 3,542.69
  4. Step 4: Simplify right side
    6,526.85x = 31,909,235.05
  5. Step 5: Solve for x
    x = 31,909,235.05/6,526.85
  6. Step 6: Final answer
    x = 4,888.92

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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.