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Finding the Fourth Proportional to 9,580.58, 14,375.34 and 3,735.62

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Solution

The fourth proportional to 9,580.58, 14,375.34 and 3,735.62 is: 5,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.58 : 14,375.34 = 3,735.62 : x
  2. Step 2: Convert to fraction form
    9,580.58/14,375.34 = 3,735.62/x
  3. Step 3: Cross multiply
    9,580.58x = 14,375.34 × 3,735.62
  4. Step 4: Simplify right side
    9,580.58x = 53,700,807.61
  5. Step 5: Solve for x
    x = 53,700,807.61/9,580.58
  6. Step 6: Final answer
    x = 5,605.17

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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.