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Finding the Fourth Proportional to 9,930.96, 13,605.53 and 9,557.37

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Solution

The fourth proportional to 9,930.96, 13,605.53 and 9,557.37 is: 13,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.96 : 13,605.53 = 9,557.37 : x
  2. Step 2: Convert to fraction form
    9,930.96/13,605.53 = 9,557.37/x
  3. Step 3: Cross multiply
    9,930.96x = 13,605.53 × 9,557.37
  4. Step 4: Simplify right side
    9,930.96x = 130,033,036.47
  5. Step 5: Solve for x
    x = 130,033,036.47/9,930.96
  6. Step 6: Final answer
    x = 13,093.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.