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Finding the Fourth Proportional to 6,318.34, 9,476.07 and 1,701.70

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Solution

The fourth proportional to 6,318.34, 9,476.07 and 1,701.70 is: 2,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.34 : 9,476.07 = 1,701.70 : x
  2. Step 2: Convert to fraction form
    6,318.34/9,476.07 = 1,701.70/x
  3. Step 3: Cross multiply
    6,318.34x = 9,476.07 × 1,701.70
  4. Step 4: Simplify right side
    6,318.34x = 16,125,428.32
  5. Step 5: Solve for x
    x = 16,125,428.32/6,318.34
  6. Step 6: Final answer
    x = 2,552.16

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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.