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Finding the Fourth Proportional to 6,434.32, 8,875.56 and 3,946

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Solution

The fourth proportional to 6,434.32, 8,875.56 and 3,946 is: 5,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.32 : 8,875.56 = 3,946 : x
  2. Step 2: Convert to fraction form
    6,434.32/8,875.56 = 3,946/x
  3. Step 3: Cross multiply
    6,434.32x = 8,875.56 × 3,946
  4. Step 4: Simplify right side
    6,434.32x = 35,022,959.76
  5. Step 5: Solve for x
    x = 35,022,959.76/6,434.32
  6. Step 6: Final answer
    x = 5,443.15

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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.