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Finding the Fourth Proportional to 9,666.18, 13,334.49 and 6,123.78

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Solution

The fourth proportional to 9,666.18, 13,334.49 and 6,123.78 is: 8,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.18 : 13,334.49 = 6,123.78 : x
  2. Step 2: Convert to fraction form
    9,666.18/13,334.49 = 6,123.78/x
  3. Step 3: Cross multiply
    9,666.18x = 13,334.49 × 6,123.78
  4. Step 4: Simplify right side
    9,666.18x = 81,657,483.17
  5. Step 5: Solve for x
    x = 81,657,483.17/9,666.18
  6. Step 6: Final answer
    x = 8,447.75

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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.