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Finding the Fourth Proportional to 9,677.00, 14,493.84 and 8,411.38

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Solution

The fourth proportional to 9,677.00, 14,493.84 and 8,411.38 is: 12,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.00 : 14,493.84 = 8,411.38 : x
  2. Step 2: Convert to fraction form
    9,677.00/14,493.84 = 8,411.38/x
  3. Step 3: Cross multiply
    9,677.00x = 14,493.84 × 8,411.38
  4. Step 4: Simplify right side
    9,677.00x = 121,913,128.12
  5. Step 5: Solve for x
    x = 121,913,128.12/9,677.00
  6. Step 6: Final answer
    x = 12,598.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.