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Finding the Fourth Proportional to 6,256.34, 9,384.96 and 2,558.64

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Solution

The fourth proportional to 6,256.34, 9,384.96 and 2,558.64 is: 3,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.34 : 9,384.96 = 2,558.64 : x
  2. Step 2: Convert to fraction form
    6,256.34/9,384.96 = 2,558.64/x
  3. Step 3: Cross multiply
    6,256.34x = 9,384.96 × 2,558.64
  4. Step 4: Simplify right side
    6,256.34x = 24,012,726.05
  5. Step 5: Solve for x
    x = 24,012,726.05/6,256.34
  6. Step 6: Final answer
    x = 3,838.14

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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.