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Finding the Fourth Proportional to 9,920.42, 14,880.15 and 3,681.65

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Solution

The fourth proportional to 9,920.42, 14,880.15 and 3,681.65 is: 5,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.42 : 14,880.15 = 3,681.65 : x
  2. Step 2: Convert to fraction form
    9,920.42/14,880.15 = 3,681.65/x
  3. Step 3: Cross multiply
    9,920.42x = 14,880.15 × 3,681.65
  4. Step 4: Simplify right side
    9,920.42x = 54,783,434.64
  5. Step 5: Solve for x
    x = 54,783,434.64/9,920.42
  6. Step 6: Final answer
    x = 5,522.29

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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.