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Finding the Fourth Proportional to 9,539.74, 13,159.11 and 6,893.02

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Solution

The fourth proportional to 9,539.74, 13,159.11 and 6,893.02 is: 9,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.74 : 13,159.11 = 6,893.02 : x
  2. Step 2: Convert to fraction form
    9,539.74/13,159.11 = 6,893.02/x
  3. Step 3: Cross multiply
    9,539.74x = 13,159.11 × 6,893.02
  4. Step 4: Simplify right side
    9,539.74x = 90,706,008.41
  5. Step 5: Solve for x
    x = 90,706,008.41/9,539.74
  6. Step 6: Final answer
    x = 9,508.23

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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.