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Finding the Fourth Proportional to 9,929.58, 13,699.38 and 5,895.48

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Solution

The fourth proportional to 9,929.58, 13,699.38 and 5,895.48 is: 8,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.58 : 13,699.38 = 5,895.48 : x
  2. Step 2: Convert to fraction form
    9,929.58/13,699.38 = 5,895.48/x
  3. Step 3: Cross multiply
    9,929.58x = 13,699.38 × 5,895.48
  4. Step 4: Simplify right side
    9,929.58x = 80,764,420.80
  5. Step 5: Solve for x
    x = 80,764,420.80/9,929.58
  6. Step 6: Final answer
    x = 8,133.72

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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.