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Finding the Fourth Proportional to 9,775.12, 13,489.50 and 5,526.11

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Solution

The fourth proportional to 9,775.12, 13,489.50 and 5,526.11 is: 7,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.12 : 13,489.50 = 5,526.11 : x
  2. Step 2: Convert to fraction form
    9,775.12/13,489.50 = 5,526.11/x
  3. Step 3: Cross multiply
    9,775.12x = 13,489.50 × 5,526.11
  4. Step 4: Simplify right side
    9,775.12x = 74,544,460.85
  5. Step 5: Solve for x
    x = 74,544,460.85/9,775.12
  6. Step 6: Final answer
    x = 7,625.94

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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.