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Finding the Fourth Proportional to 9,977.48, 13,765.58 and 6,443.08

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Solution

The fourth proportional to 9,977.48, 13,765.58 and 6,443.08 is: 8,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.48 : 13,765.58 = 6,443.08 : x
  2. Step 2: Convert to fraction form
    9,977.48/13,765.58 = 6,443.08/x
  3. Step 3: Cross multiply
    9,977.48x = 13,765.58 × 6,443.08
  4. Step 4: Simplify right side
    9,977.48x = 88,692,733.19
  5. Step 5: Solve for x
    x = 88,692,733.19/9,977.48
  6. Step 6: Final answer
    x = 8,889.29

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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.