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Finding the Fourth Proportional to 9,137.35, 12,603.03 and 6,305.80

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Solution

The fourth proportional to 9,137.35, 12,603.03 and 6,305.80 is: 8,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.35 : 12,603.03 = 6,305.80 : x
  2. Step 2: Convert to fraction form
    9,137.35/12,603.03 = 6,305.80/x
  3. Step 3: Cross multiply
    9,137.35x = 12,603.03 × 6,305.80
  4. Step 4: Simplify right side
    9,137.35x = 79,472,186.57
  5. Step 5: Solve for x
    x = 79,472,186.57/9,137.35
  6. Step 6: Final answer
    x = 8,697.51

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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.