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Finding the Fourth Proportional to 9,355.69, 12,911.34 and 5,378.14

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Solution

The fourth proportional to 9,355.69, 12,911.34 and 5,378.14 is: 7,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.69 : 12,911.34 = 5,378.14 : x
  2. Step 2: Convert to fraction form
    9,355.69/12,911.34 = 5,378.14/x
  3. Step 3: Cross multiply
    9,355.69x = 12,911.34 × 5,378.14
  4. Step 4: Simplify right side
    9,355.69x = 69,438,994.11
  5. Step 5: Solve for x
    x = 69,438,994.11/9,355.69
  6. Step 6: Final answer
    x = 7,422.11

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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.