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Finding the Fourth Proportional to 6,527.85, 9,013.12 and 4,013.33

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Solution

The fourth proportional to 6,527.85, 9,013.12 and 4,013.33 is: 5,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.85 : 9,013.12 = 4,013.33 : x
  2. Step 2: Convert to fraction form
    6,527.85/9,013.12 = 4,013.33/x
  3. Step 3: Cross multiply
    6,527.85x = 9,013.12 × 4,013.33
  4. Step 4: Simplify right side
    6,527.85x = 36,172,624.89
  5. Step 5: Solve for x
    x = 36,172,624.89/6,527.85
  6. Step 6: Final answer
    x = 5,541.28

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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.