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Finding the Fourth Proportional to 9,582.64, 14,365.44 and 3,743.34

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Solution

The fourth proportional to 9,582.64, 14,365.44 and 3,743.34 is: 5,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.64 : 14,365.44 = 3,743.34 : x
  2. Step 2: Convert to fraction form
    9,582.64/14,365.44 = 3,743.34/x
  3. Step 3: Cross multiply
    9,582.64x = 14,365.44 × 3,743.34
  4. Step 4: Simplify right side
    9,582.64x = 53,774,726.17
  5. Step 5: Solve for x
    x = 53,774,726.17/9,582.64
  6. Step 6: Final answer
    x = 5,611.68

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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.