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Finding the Fourth Proportional to 9,565.40, 14,348.10 and 3,726.12

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Solution

The fourth proportional to 9,565.40, 14,348.10 and 3,726.12 is: 5,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.40 : 14,348.10 = 3,726.12 : x
  2. Step 2: Convert to fraction form
    9,565.40/14,348.10 = 3,726.12/x
  3. Step 3: Cross multiply
    9,565.40x = 14,348.10 × 3,726.12
  4. Step 4: Simplify right side
    9,565.40x = 53,462,742.37
  5. Step 5: Solve for x
    x = 53,462,742.37/9,565.40
  6. Step 6: Final answer
    x = 5,589.18

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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.