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Finding the Fourth Proportional to 8,977.36, 12,389.34 and 6,178

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Solution

The fourth proportional to 8,977.36, 12,389.34 and 6,178 is: 8,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.36 : 12,389.34 = 6,178 : x
  2. Step 2: Convert to fraction form
    8,977.36/12,389.34 = 6,178/x
  3. Step 3: Cross multiply
    8,977.36x = 12,389.34 × 6,178
  4. Step 4: Simplify right side
    8,977.36x = 76,541,342.52
  5. Step 5: Solve for x
    x = 76,541,342.52/8,977.36
  6. Step 6: Final answer
    x = 8,526.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.