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Finding the Fourth Proportional to 9,040, 13,565.12 and 4,176

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Solution

The fourth proportional to 9,040, 13,565.12 and 4,176 is: 6,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040 : 13,565.12 = 4,176 : x
  2. Step 2: Convert to fraction form
    9,040/13,565.12 = 4,176/x
  3. Step 3: Cross multiply
    9,040x = 13,565.12 × 4,176
  4. Step 4: Simplify right side
    9,040x = 56,647,941.12
  5. Step 5: Solve for x
    x = 56,647,941.12/9,040
  6. Step 6: Final answer
    x = 6,266.37

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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.