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Finding the Fourth Proportional to 9,208.98, 12,704.04 and 6,225.86

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Solution

The fourth proportional to 9,208.98, 12,704.04 and 6,225.86 is: 8,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.98 : 12,704.04 = 6,225.86 : x
  2. Step 2: Convert to fraction form
    9,208.98/12,704.04 = 6,225.86/x
  3. Step 3: Cross multiply
    9,208.98x = 12,704.04 × 6,225.86
  4. Step 4: Simplify right side
    9,208.98x = 79,093,574.47
  5. Step 5: Solve for x
    x = 79,093,574.47/9,208.98
  6. Step 6: Final answer
    x = 8,588.74

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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.