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Finding the Fourth Proportional to 9,966.65, 14,922.28 and 5,021.29

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Solution

The fourth proportional to 9,966.65, 14,922.28 and 5,021.29 is: 7,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.65 : 14,922.28 = 5,021.29 : x
  2. Step 2: Convert to fraction form
    9,966.65/14,922.28 = 5,021.29/x
  3. Step 3: Cross multiply
    9,966.65x = 14,922.28 × 5,021.29
  4. Step 4: Simplify right side
    9,966.65x = 74,929,095.34
  5. Step 5: Solve for x
    x = 74,929,095.34/9,966.65
  6. Step 6: Final answer
    x = 7,517.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.