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Finding the Fourth Proportional to 9,620, 13,281.11 and 7,333.38

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Solution

The fourth proportional to 9,620, 13,281.11 and 7,333.38 is: 10,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620 : 13,281.11 = 7,333.38 : x
  2. Step 2: Convert to fraction form
    9,620/13,281.11 = 7,333.38/x
  3. Step 3: Cross multiply
    9,620x = 13,281.11 × 7,333.38
  4. Step 4: Simplify right side
    9,620x = 97,395,426.45
  5. Step 5: Solve for x
    x = 97,395,426.45/9,620
  6. Step 6: Final answer
    x = 10,124.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.