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Finding the Fourth Proportional to 9,209.02, 12,705.12 and 6,024.14

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Solution

The fourth proportional to 9,209.02, 12,705.12 and 6,024.14 is: 8,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.02 : 12,705.12 = 6,024.14 : x
  2. Step 2: Convert to fraction form
    9,209.02/12,705.12 = 6,024.14/x
  3. Step 3: Cross multiply
    9,209.02x = 12,705.12 × 6,024.14
  4. Step 4: Simplify right side
    9,209.02x = 76,537,404.89
  5. Step 5: Solve for x
    x = 76,537,404.89/9,209.02
  6. Step 6: Final answer
    x = 8,311.13

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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.