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Finding the Fourth Proportional to 9,419.13, 13,007.12 and 7,057.17

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Solution

The fourth proportional to 9,419.13, 13,007.12 and 7,057.17 is: 9,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.13 : 13,007.12 = 7,057.17 : x
  2. Step 2: Convert to fraction form
    9,419.13/13,007.12 = 7,057.17/x
  3. Step 3: Cross multiply
    9,419.13x = 13,007.12 × 7,057.17
  4. Step 4: Simplify right side
    9,419.13x = 91,793,421.76
  5. Step 5: Solve for x
    x = 91,793,421.76/9,419.13
  6. Step 6: Final answer
    x = 9,745.42

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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.