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Finding the Fourth Proportional to 9,614.16, 13,265.27 and 5,837.23

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Solution

The fourth proportional to 9,614.16, 13,265.27 and 5,837.23 is: 8,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.16 : 13,265.27 = 5,837.23 : x
  2. Step 2: Convert to fraction form
    9,614.16/13,265.27 = 5,837.23/x
  3. Step 3: Cross multiply
    9,614.16x = 13,265.27 × 5,837.23
  4. Step 4: Simplify right side
    9,614.16x = 77,432,432.00
  5. Step 5: Solve for x
    x = 77,432,432.00/9,614.16
  6. Step 6: Final answer
    x = 8,054.00

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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.