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Finding the Fourth Proportional to 9,207.78, 13,825.52 and 5,526.48

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Solution

The fourth proportional to 9,207.78, 13,825.52 and 5,526.48 is: 8,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.78 : 13,825.52 = 5,526.48 : x
  2. Step 2: Convert to fraction form
    9,207.78/13,825.52 = 5,526.48/x
  3. Step 3: Cross multiply
    9,207.78x = 13,825.52 × 5,526.48
  4. Step 4: Simplify right side
    9,207.78x = 76,406,459.77
  5. Step 5: Solve for x
    x = 76,406,459.77/9,207.78
  6. Step 6: Final answer
    x = 8,298.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.