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Finding the Fourth Proportional to 9,013, 12,437.94 and 5,287.72

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Solution

The fourth proportional to 9,013, 12,437.94 and 5,287.72 is: 7,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013 : 12,437.94 = 5,287.72 : x
  2. Step 2: Convert to fraction form
    9,013/12,437.94 = 5,287.72/x
  3. Step 3: Cross multiply
    9,013x = 12,437.94 × 5,287.72
  4. Step 4: Simplify right side
    9,013x = 65,768,344.10
  5. Step 5: Solve for x
    x = 65,768,344.10/9,013
  6. Step 6: Final answer
    x = 7,297.05

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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.