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Finding the Fourth Proportional to 9,206.25, 12,704.63 and 5,014.50

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Solution

The fourth proportional to 9,206.25, 12,704.63 and 5,014.50 is: 6,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.25 : 12,704.63 = 5,014.50 : x
  2. Step 2: Convert to fraction form
    9,206.25/12,704.63 = 5,014.50/x
  3. Step 3: Cross multiply
    9,206.25x = 12,704.63 × 5,014.50
  4. Step 4: Simplify right side
    9,206.25x = 63,707,342.06
  5. Step 5: Solve for x
    x = 63,707,342.06/9,206.25
  6. Step 6: Final answer
    x = 6,920.01

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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.