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Finding the Fourth Proportional to 9,977.49, 13,768.97 and 5,501.25

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Solution

The fourth proportional to 9,977.49, 13,768.97 and 5,501.25 is: 7,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.49 : 13,768.97 = 5,501.25 : x
  2. Step 2: Convert to fraction form
    9,977.49/13,768.97 = 5,501.25/x
  3. Step 3: Cross multiply
    9,977.49x = 13,768.97 × 5,501.25
  4. Step 4: Simplify right side
    9,977.49x = 75,746,518.71
  5. Step 5: Solve for x
    x = 75,746,518.71/9,977.49
  6. Step 6: Final answer
    x = 7,591.74

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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.