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Finding the Fourth Proportional to 9,093.84, 13,622.92 and 4,714.16

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Solution

The fourth proportional to 9,093.84, 13,622.92 and 4,714.16 is: 7,061.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.84 : 13,622.92 = 4,714.16 : x
  2. Step 2: Convert to fraction form
    9,093.84/13,622.92 = 4,714.16/x
  3. Step 3: Cross multiply
    9,093.84x = 13,622.92 × 4,714.16
  4. Step 4: Simplify right side
    9,093.84x = 64,220,624.55
  5. Step 5: Solve for x
    x = 64,220,624.55/9,093.84
  6. Step 6: Final answer
    x = 7,061.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.