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Finding the Fourth Proportional to 9,756.39, 13,461.46 and 5,927.95

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Solution

The fourth proportional to 9,756.39, 13,461.46 and 5,927.95 is: 8,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.39 : 13,461.46 = 5,927.95 : x
  2. Step 2: Convert to fraction form
    9,756.39/13,461.46 = 5,927.95/x
  3. Step 3: Cross multiply
    9,756.39x = 13,461.46 × 5,927.95
  4. Step 4: Simplify right side
    9,756.39x = 79,798,861.81
  5. Step 5: Solve for x
    x = 79,798,861.81/9,756.39
  6. Step 6: Final answer
    x = 8,179.14

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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.