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Finding the Fourth Proportional to 6,526.14, 9,006.06 and 3,731.64

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Solution

The fourth proportional to 6,526.14, 9,006.06 and 3,731.64 is: 5,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.14 : 9,006.06 = 3,731.64 : x
  2. Step 2: Convert to fraction form
    6,526.14/9,006.06 = 3,731.64/x
  3. Step 3: Cross multiply
    6,526.14x = 9,006.06 × 3,731.64
  4. Step 4: Simplify right side
    6,526.14x = 33,607,373.74
  5. Step 5: Solve for x
    x = 33,607,373.74/6,526.14
  6. Step 6: Final answer
    x = 5,149.66

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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.