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Finding the Fourth Proportional to 6,966.80, 9,610.14 and 4,312.32

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Solution

The fourth proportional to 6,966.80, 9,610.14 and 4,312.32 is: 5,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.80 : 9,610.14 = 4,312.32 : x
  2. Step 2: Convert to fraction form
    6,966.80/9,610.14 = 4,312.32/x
  3. Step 3: Cross multiply
    6,966.80x = 9,610.14 × 4,312.32
  4. Step 4: Simplify right side
    6,966.80x = 41,441,998.92
  5. Step 5: Solve for x
    x = 41,441,998.92/6,966.80
  6. Step 6: Final answer
    x = 5,948.50

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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.