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Finding the Fourth Proportional to 7,980.37, 11,959.35 and 6,307.14

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Solution

The fourth proportional to 7,980.37, 11,959.35 and 6,307.14 is: 9,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.37 : 11,959.35 = 6,307.14 : x
  2. Step 2: Convert to fraction form
    7,980.37/11,959.35 = 6,307.14/x
  3. Step 3: Cross multiply
    7,980.37x = 11,959.35 × 6,307.14
  4. Step 4: Simplify right side
    7,980.37x = 75,429,203.43
  5. Step 5: Solve for x
    x = 75,429,203.43/7,980.37
  6. Step 6: Final answer
    x = 9,451.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.