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Finding the Fourth Proportional to 9,304.96, 13,963.92 and 6,386.08

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Solution

The fourth proportional to 9,304.96, 13,963.92 and 6,386.08 is: 9,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.96 : 13,963.92 = 6,386.08 : x
  2. Step 2: Convert to fraction form
    9,304.96/13,963.92 = 6,386.08/x
  3. Step 3: Cross multiply
    9,304.96x = 13,963.92 × 6,386.08
  4. Step 4: Simplify right side
    9,304.96x = 89,174,710.23
  5. Step 5: Solve for x
    x = 89,174,710.23/9,304.96
  6. Step 6: Final answer
    x = 9,583.57

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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.