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Finding the Fourth Proportional to 9,706.31, 14,559.47 and 3,862.97

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Solution

The fourth proportional to 9,706.31, 14,559.47 and 3,862.97 is: 5,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.31 : 14,559.47 = 3,862.97 : x
  2. Step 2: Convert to fraction form
    9,706.31/14,559.47 = 3,862.97/x
  3. Step 3: Cross multiply
    9,706.31x = 14,559.47 × 3,862.97
  4. Step 4: Simplify right side
    9,706.31x = 56,242,776.51
  5. Step 5: Solve for x
    x = 56,242,776.51/9,706.31
  6. Step 6: Final answer
    x = 5,794.46

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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.