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Finding the Fourth Proportional to 9,206.36, 12,704.94 and 5,014.60

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Solution

The fourth proportional to 9,206.36, 12,704.94 and 5,014.60 is: 6,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.36 : 12,704.94 = 5,014.60 : x
  2. Step 2: Convert to fraction form
    9,206.36/12,704.94 = 5,014.60/x
  3. Step 3: Cross multiply
    9,206.36x = 12,704.94 × 5,014.60
  4. Step 4: Simplify right side
    9,206.36x = 63,710,192.12
  5. Step 5: Solve for x
    x = 63,710,192.12/9,206.36
  6. Step 6: Final answer
    x = 6,920.24

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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.