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Finding the Fourth Proportional to 6,424.38, 9,636.56 and 1,807.38

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Solution

The fourth proportional to 6,424.38, 9,636.56 and 1,807.38 is: 2,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.38 : 9,636.56 = 1,807.38 : x
  2. Step 2: Convert to fraction form
    6,424.38/9,636.56 = 1,807.38/x
  3. Step 3: Cross multiply
    6,424.38x = 9,636.56 × 1,807.38
  4. Step 4: Simplify right side
    6,424.38x = 17,416,925.81
  5. Step 5: Solve for x
    x = 17,416,925.81/6,424.38
  6. Step 6: Final answer
    x = 2,711.07

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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.