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Finding the Fourth Proportional to 9,548.85, 14,323.26 and 5,386.97

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Solution

The fourth proportional to 9,548.85, 14,323.26 and 5,386.97 is: 8,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.85 : 14,323.26 = 5,386.97 : x
  2. Step 2: Convert to fraction form
    9,548.85/14,323.26 = 5,386.97/x
  3. Step 3: Cross multiply
    9,548.85x = 14,323.26 × 5,386.97
  4. Step 4: Simplify right side
    9,548.85x = 77,158,971.92
  5. Step 5: Solve for x
    x = 77,158,971.92/9,548.85
  6. Step 6: Final answer
    x = 8,080.45

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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.