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Finding the Fourth Proportional to 6,429.69, 9,646.02 and 2,047.14

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Solution

The fourth proportional to 6,429.69, 9,646.02 and 2,047.14 is: 3,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.69 : 9,646.02 = 2,047.14 : x
  2. Step 2: Convert to fraction form
    6,429.69/9,646.02 = 2,047.14/x
  3. Step 3: Cross multiply
    6,429.69x = 9,646.02 × 2,047.14
  4. Step 4: Simplify right side
    6,429.69x = 19,746,753.38
  5. Step 5: Solve for x
    x = 19,746,753.38/6,429.69
  6. Step 6: Final answer
    x = 3,071.18

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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.