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Finding the Fourth Proportional to 7,007.84, 9,670.82 and 3,864

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Solution

The fourth proportional to 7,007.84, 9,670.82 and 3,864 is: 5,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.84 : 9,670.82 = 3,864 : x
  2. Step 2: Convert to fraction form
    7,007.84/9,670.82 = 3,864/x
  3. Step 3: Cross multiply
    7,007.84x = 9,670.82 × 3,864
  4. Step 4: Simplify right side
    7,007.84x = 37,368,029.16
  5. Step 5: Solve for x
    x = 37,368,029.16/7,007.84
  6. Step 6: Final answer
    x = 5,332.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.