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Finding the Fourth Proportional to 9,225.84, 12,732.72 and 5,690.08

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Solution

The fourth proportional to 9,225.84, 12,732.72 and 5,690.08 is: 7,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.84 : 12,732.72 = 5,690.08 : x
  2. Step 2: Convert to fraction form
    9,225.84/12,732.72 = 5,690.08/x
  3. Step 3: Cross multiply
    9,225.84x = 12,732.72 × 5,690.08
  4. Step 4: Simplify right side
    9,225.84x = 72,450,195.42
  5. Step 5: Solve for x
    x = 72,450,195.42/9,225.84
  6. Step 6: Final answer
    x = 7,852.96

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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.