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Finding the Fourth Proportional to 9,977.51, 13,769.07 and 5,501.42

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Solution

The fourth proportional to 9,977.51, 13,769.07 and 5,501.42 is: 7,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.51 : 13,769.07 = 5,501.42 : x
  2. Step 2: Convert to fraction form
    9,977.51/13,769.07 = 5,501.42/x
  3. Step 3: Cross multiply
    9,977.51x = 13,769.07 × 5,501.42
  4. Step 4: Simplify right side
    9,977.51x = 75,749,409.57
  5. Step 5: Solve for x
    x = 75,749,409.57/9,977.51
  6. Step 6: Final answer
    x = 7,592.02

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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.