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Finding the Fourth Proportional to 9,134.34, 12,603.20 and 6,300.80

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Solution

The fourth proportional to 9,134.34, 12,603.20 and 6,300.80 is: 8,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.34 : 12,603.20 = 6,300.80 : x
  2. Step 2: Convert to fraction form
    9,134.34/12,603.20 = 6,300.80/x
  3. Step 3: Cross multiply
    9,134.34x = 12,603.20 × 6,300.80
  4. Step 4: Simplify right side
    9,134.34x = 79,410,319.36
  5. Step 5: Solve for x
    x = 79,410,319.36/9,134.34
  6. Step 6: Final answer
    x = 8,693.61

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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.