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Finding the Fourth Proportional to 9,698.97, 14,554.53 and 4,433.16

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Solution

The fourth proportional to 9,698.97, 14,554.53 and 4,433.16 is: 6,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.97 : 14,554.53 = 4,433.16 : x
  2. Step 2: Convert to fraction form
    9,698.97/14,554.53 = 4,433.16/x
  3. Step 3: Cross multiply
    9,698.97x = 14,554.53 × 4,433.16
  4. Step 4: Simplify right side
    9,698.97x = 64,522,560.21
  5. Step 5: Solve for x
    x = 64,522,560.21/9,698.97
  6. Step 6: Final answer
    x = 6,652.52

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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.