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Finding the Fourth Proportional to 9,976.95, 13,768.02 and 5,501.13

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Solution

The fourth proportional to 9,976.95, 13,768.02 and 5,501.13 is: 7,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.95 : 13,768.02 = 5,501.13 : x
  2. Step 2: Convert to fraction form
    9,976.95/13,768.02 = 5,501.13/x
  3. Step 3: Cross multiply
    9,976.95x = 13,768.02 × 5,501.13
  4. Step 4: Simplify right side
    9,976.95x = 75,739,667.86
  5. Step 5: Solve for x
    x = 75,739,667.86/9,976.95
  6. Step 6: Final answer
    x = 7,591.47

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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.