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Finding the Fourth Proportional to 6,526.76, 9,006.93 and 3,542.45

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Solution

The fourth proportional to 6,526.76, 9,006.93 and 3,542.45 is: 4,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.76 : 9,006.93 = 3,542.45 : x
  2. Step 2: Convert to fraction form
    6,526.76/9,006.93 = 3,542.45/x
  3. Step 3: Cross multiply
    6,526.76x = 9,006.93 × 3,542.45
  4. Step 4: Simplify right side
    6,526.76x = 31,906,554.14
  5. Step 5: Solve for x
    x = 31,906,554.14/6,526.76
  6. Step 6: Final answer
    x = 4,888.58

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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.