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Finding the Fourth Proportional to 9,814.74, 13,541.07 and 5,565.27

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Solution

The fourth proportional to 9,814.74, 13,541.07 and 5,565.27 is: 7,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.74 : 13,541.07 = 5,565.27 : x
  2. Step 2: Convert to fraction form
    9,814.74/13,541.07 = 5,565.27/x
  3. Step 3: Cross multiply
    9,814.74x = 13,541.07 × 5,565.27
  4. Step 4: Simplify right side
    9,814.74x = 75,359,782.29
  5. Step 5: Solve for x
    x = 75,359,782.29/9,814.74
  6. Step 6: Final answer
    x = 7,678.23

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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.