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Finding the Fourth Proportional to 9,050.14, 13,565.86 and 3,788.22

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Solution

The fourth proportional to 9,050.14, 13,565.86 and 3,788.22 is: 5,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.14 : 13,565.86 = 3,788.22 : x
  2. Step 2: Convert to fraction form
    9,050.14/13,565.86 = 3,788.22/x
  3. Step 3: Cross multiply
    9,050.14x = 13,565.86 × 3,788.22
  4. Step 4: Simplify right side
    9,050.14x = 51,390,462.17
  5. Step 5: Solve for x
    x = 51,390,462.17/9,050.14
  6. Step 6: Final answer
    x = 5,678.42

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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.