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Finding the Fourth Proportional to 8,946.88, 12,340.64 and 6,847.36

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Solution

The fourth proportional to 8,946.88, 12,340.64 and 6,847.36 is: 9,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.88 : 12,340.64 = 6,847.36 : x
  2. Step 2: Convert to fraction form
    8,946.88/12,340.64 = 6,847.36/x
  3. Step 3: Cross multiply
    8,946.88x = 12,340.64 × 6,847.36
  4. Step 4: Simplify right side
    8,946.88x = 84,500,804.71
  5. Step 5: Solve for x
    x = 84,500,804.71/8,946.88
  6. Step 6: Final answer
    x = 9,444.72

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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.