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Finding the Fourth Proportional to 9,606.86, 14,405.69 and 4,929.11

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Solution

The fourth proportional to 9,606.86, 14,405.69 and 4,929.11 is: 7,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.86 : 14,405.69 = 4,929.11 : x
  2. Step 2: Convert to fraction form
    9,606.86/14,405.69 = 4,929.11/x
  3. Step 3: Cross multiply
    9,606.86x = 14,405.69 × 4,929.11
  4. Step 4: Simplify right side
    9,606.86x = 71,007,230.64
  5. Step 5: Solve for x
    x = 71,007,230.64/9,606.86
  6. Step 6: Final answer
    x = 7,391.30

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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.