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Finding the Fourth Proportional to 9,419.14, 13,000.01 and 5,442.55

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Solution

The fourth proportional to 9,419.14, 13,000.01 and 5,442.55 is: 7,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.14 : 13,000.01 = 5,442.55 : x
  2. Step 2: Convert to fraction form
    9,419.14/13,000.01 = 5,442.55/x
  3. Step 3: Cross multiply
    9,419.14x = 13,000.01 × 5,442.55
  4. Step 4: Simplify right side
    9,419.14x = 70,753,243.77
  5. Step 5: Solve for x
    x = 70,753,243.77/9,419.14
  6. Step 6: Final answer
    x = 7,511.65

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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.