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Finding the Fourth Proportional to 9,920.04, 14,880.93 and 3,680.12

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Solution

The fourth proportional to 9,920.04, 14,880.93 and 3,680.12 is: 5,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.04 : 14,880.93 = 3,680.12 : x
  2. Step 2: Convert to fraction form
    9,920.04/14,880.93 = 3,680.12/x
  3. Step 3: Cross multiply
    9,920.04x = 14,880.93 × 3,680.12
  4. Step 4: Simplify right side
    9,920.04x = 54,763,603.31
  5. Step 5: Solve for x
    x = 54,763,603.31/9,920.04
  6. Step 6: Final answer
    x = 5,520.50

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Why These Related Problems?

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