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Finding the Fourth Proportional to 9,669.84, 14,491.76 and 7,959.12

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Solution

The fourth proportional to 9,669.84, 14,491.76 and 7,959.12 is: 11,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.84 : 14,491.76 = 7,959.12 : x
  2. Step 2: Convert to fraction form
    9,669.84/14,491.76 = 7,959.12/x
  3. Step 3: Cross multiply
    9,669.84x = 14,491.76 × 7,959.12
  4. Step 4: Simplify right side
    9,669.84x = 115,341,656.85
  5. Step 5: Solve for x
    x = 115,341,656.85/9,669.84
  6. Step 6: Final answer
    x = 11,927.98

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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.