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Finding the Fourth Proportional to 9,698.28, 14,548.59 and 3,122.16

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Solution

The fourth proportional to 9,698.28, 14,548.59 and 3,122.16 is: 4,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.28 : 14,548.59 = 3,122.16 : x
  2. Step 2: Convert to fraction form
    9,698.28/14,548.59 = 3,122.16/x
  3. Step 3: Cross multiply
    9,698.28x = 14,548.59 × 3,122.16
  4. Step 4: Simplify right side
    9,698.28x = 45,423,025.75
  5. Step 5: Solve for x
    x = 45,423,025.75/9,698.28
  6. Step 6: Final answer
    x = 4,683.62

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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.