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Finding the Fourth Proportional to 9,775.32, 13,486.77 and 5,525.97

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Solution

The fourth proportional to 9,775.32, 13,486.77 and 5,525.97 is: 7,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.32 : 13,486.77 = 5,525.97 : x
  2. Step 2: Convert to fraction form
    9,775.32/13,486.77 = 5,525.97/x
  3. Step 3: Cross multiply
    9,775.32x = 13,486.77 × 5,525.97
  4. Step 4: Simplify right side
    9,775.32x = 74,527,486.42
  5. Step 5: Solve for x
    x = 74,527,486.42/9,775.32
  6. Step 6: Final answer
    x = 7,624.05

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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.