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Finding the Fourth Proportional to 9,437.09, 13,023.50 and 5,188.30

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Solution

The fourth proportional to 9,437.09, 13,023.50 and 5,188.30 is: 7,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.09 : 13,023.50 = 5,188.30 : x
  2. Step 2: Convert to fraction form
    9,437.09/13,023.50 = 5,188.30/x
  3. Step 3: Cross multiply
    9,437.09x = 13,023.50 × 5,188.30
  4. Step 4: Simplify right side
    9,437.09x = 67,569,766.55
  5. Step 5: Solve for x
    x = 67,569,766.55/9,437.09
  6. Step 6: Final answer
    x = 7,160.03

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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.