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Finding the Fourth Proportional to 6,712.32, 9,270 and 4,619.28

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Solution

The fourth proportional to 6,712.32, 9,270 and 4,619.28 is: 6,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.32 : 9,270 = 4,619.28 : x
  2. Step 2: Convert to fraction form
    6,712.32/9,270 = 4,619.28/x
  3. Step 3: Cross multiply
    6,712.32x = 9,270 × 4,619.28
  4. Step 4: Simplify right side
    6,712.32x = 42,820,725.60
  5. Step 5: Solve for x
    x = 42,820,725.60/6,712.32
  6. Step 6: Final answer
    x = 6,379.42

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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.