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Finding the Fourth Proportional to 7,118.93, 9,828.75 and 6,371.59

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Solution

The fourth proportional to 7,118.93, 9,828.75 and 6,371.59 is: 8,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.93 : 9,828.75 = 6,371.59 : x
  2. Step 2: Convert to fraction form
    7,118.93/9,828.75 = 6,371.59/x
  3. Step 3: Cross multiply
    7,118.93x = 9,828.75 × 6,371.59
  4. Step 4: Simplify right side
    7,118.93x = 62,624,733.35
  5. Step 5: Solve for x
    x = 62,624,733.35/7,118.93
  6. Step 6: Final answer
    x = 8,796.93

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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.