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Finding the Fourth Proportional to 9,585.84, 14,373.09 and 3,735.62

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Solution

The fourth proportional to 9,585.84, 14,373.09 and 3,735.62 is: 5,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.84 : 14,373.09 = 3,735.62 : x
  2. Step 2: Convert to fraction form
    9,585.84/14,373.09 = 3,735.62/x
  3. Step 3: Cross multiply
    9,585.84x = 14,373.09 × 3,735.62
  4. Step 4: Simplify right side
    9,585.84x = 53,692,402.47
  5. Step 5: Solve for x
    x = 53,692,402.47/9,585.84
  6. Step 6: Final answer
    x = 5,601.22

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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.