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Finding the Fourth Proportional to 9,209.63, 12,705.95 and 6,024.74

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Solution

The fourth proportional to 9,209.63, 12,705.95 and 6,024.74 is: 8,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.63 : 12,705.95 = 6,024.74 : x
  2. Step 2: Convert to fraction form
    9,209.63/12,705.95 = 6,024.74/x
  3. Step 3: Cross multiply
    9,209.63x = 12,705.95 × 6,024.74
  4. Step 4: Simplify right side
    9,209.63x = 76,550,060.26
  5. Step 5: Solve for x
    x = 76,550,060.26/9,209.63
  6. Step 6: Final answer
    x = 8,311.96

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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.