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Finding the Fourth Proportional to 9,206.16, 13,814.04 and 5,048.13

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Solution

The fourth proportional to 9,206.16, 13,814.04 and 5,048.13 is: 7,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.16 : 13,814.04 = 5,048.13 : x
  2. Step 2: Convert to fraction form
    9,206.16/13,814.04 = 5,048.13/x
  3. Step 3: Cross multiply
    9,206.16x = 13,814.04 × 5,048.13
  4. Step 4: Simplify right side
    9,206.16x = 69,735,069.75
  5. Step 5: Solve for x
    x = 69,735,069.75/9,206.16
  6. Step 6: Final answer
    x = 7,574.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.