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Finding the Fourth Proportional to 9,582.73, 14,374.08 and 2,657.23

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Solution

The fourth proportional to 9,582.73, 14,374.08 and 2,657.23 is: 3,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.73 : 14,374.08 = 2,657.23 : x
  2. Step 2: Convert to fraction form
    9,582.73/14,374.08 = 2,657.23/x
  3. Step 3: Cross multiply
    9,582.73x = 14,374.08 × 2,657.23
  4. Step 4: Simplify right side
    9,582.73x = 38,195,200.66
  5. Step 5: Solve for x
    x = 38,195,200.66/9,582.73
  6. Step 6: Final answer
    x = 3,985.84

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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.