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Finding the Fourth Proportional to 6,489.28, 9,735.12 and 2,106.40

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Solution

The fourth proportional to 6,489.28, 9,735.12 and 2,106.40 is: 3,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.28 : 9,735.12 = 2,106.40 : x
  2. Step 2: Convert to fraction form
    6,489.28/9,735.12 = 2,106.40/x
  3. Step 3: Cross multiply
    6,489.28x = 9,735.12 × 2,106.40
  4. Step 4: Simplify right side
    6,489.28x = 20,506,056.77
  5. Step 5: Solve for x
    x = 20,506,056.77/6,489.28
  6. Step 6: Final answer
    x = 3,159.99

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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.