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Finding the Fourth Proportional to 7,095.36, 9,782.06 and 4,968.03

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Solution

The fourth proportional to 7,095.36, 9,782.06 and 4,968.03 is: 6,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.36 : 9,782.06 = 4,968.03 : x
  2. Step 2: Convert to fraction form
    7,095.36/9,782.06 = 4,968.03/x
  3. Step 3: Cross multiply
    7,095.36x = 9,782.06 × 4,968.03
  4. Step 4: Simplify right side
    7,095.36x = 48,597,542.70
  5. Step 5: Solve for x
    x = 48,597,542.70/7,095.36
  6. Step 6: Final answer
    x = 6,849.20

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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.