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Finding the Fourth Proportional to 7,078.84, 9,768.75 and 3,935

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Solution

The fourth proportional to 7,078.84, 9,768.75 and 3,935 is: 5,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.84 : 9,768.75 = 3,935 : x
  2. Step 2: Convert to fraction form
    7,078.84/9,768.75 = 3,935/x
  3. Step 3: Cross multiply
    7,078.84x = 9,768.75 × 3,935
  4. Step 4: Simplify right side
    7,078.84x = 38,440,031.25
  5. Step 5: Solve for x
    x = 38,440,031.25/7,078.84
  6. Step 6: Final answer
    x = 5,430.27

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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.