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Finding the Fourth Proportional to 9,698.89, 14,554.14 and 4,152.24

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Solution

The fourth proportional to 9,698.89, 14,554.14 and 4,152.24 is: 6,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.89 : 14,554.14 = 4,152.24 : x
  2. Step 2: Convert to fraction form
    9,698.89/14,554.14 = 4,152.24/x
  3. Step 3: Cross multiply
    9,698.89x = 14,554.14 × 4,152.24
  4. Step 4: Simplify right side
    9,698.89x = 60,432,282.27
  5. Step 5: Solve for x
    x = 60,432,282.27/9,698.89
  6. Step 6: Final answer
    x = 6,230.85

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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.