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Finding the Fourth Proportional to 9,977.63, 13,769.06 and 5,501.48

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Solution

The fourth proportional to 9,977.63, 13,769.06 and 5,501.48 is: 7,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.63 : 13,769.06 = 5,501.48 : x
  2. Step 2: Convert to fraction form
    9,977.63/13,769.06 = 5,501.48/x
  3. Step 3: Cross multiply
    9,977.63x = 13,769.06 × 5,501.48
  4. Step 4: Simplify right side
    9,977.63x = 75,750,111.86
  5. Step 5: Solve for x
    x = 75,750,111.86/9,977.63
  6. Step 6: Final answer
    x = 7,592.00

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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.