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Finding the Fourth Proportional to 12,295.64, 16,967.40 and 6,989.87

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Solution

The fourth proportional to 12,295.64, 16,967.40 and 6,989.87 is: 9,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.64 : 16,967.40 = 6,989.87 : x
  2. Step 2: Convert to fraction form
    12,295.64/16,967.40 = 6,989.87/x
  3. Step 3: Cross multiply
    12,295.64x = 16,967.40 × 6,989.87
  4. Step 4: Simplify right side
    12,295.64x = 118,599,920.24
  5. Step 5: Solve for x
    x = 118,599,920.24/12,295.64
  6. Step 6: Final answer
    x = 9,645.69

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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.