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Finding the Fourth Proportional to 9,802.92, 14,669.82 and 7,475.88

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Solution

The fourth proportional to 9,802.92, 14,669.82 and 7,475.88 is: 11,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.92 : 14,669.82 = 7,475.88 : x
  2. Step 2: Convert to fraction form
    9,802.92/14,669.82 = 7,475.88/x
  3. Step 3: Cross multiply
    9,802.92x = 14,669.82 × 7,475.88
  4. Step 4: Simplify right side
    9,802.92x = 109,669,813.94
  5. Step 5: Solve for x
    x = 109,669,813.94/9,802.92
  6. Step 6: Final answer
    x = 11,187.46

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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.