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Finding the Fourth Proportional to 9,669.88, 14,505.52 and 3,005.50

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Solution

The fourth proportional to 9,669.88, 14,505.52 and 3,005.50 is: 4,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.88 : 14,505.52 = 3,005.50 : x
  2. Step 2: Convert to fraction form
    9,669.88/14,505.52 = 3,005.50/x
  3. Step 3: Cross multiply
    9,669.88x = 14,505.52 × 3,005.50
  4. Step 4: Simplify right side
    9,669.88x = 43,596,340.36
  5. Step 5: Solve for x
    x = 43,596,340.36/9,669.88
  6. Step 6: Final answer
    x = 4,508.47

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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.