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Finding the Fourth Proportional to 9,437.48, 13,023.06 and 5,188.44

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Solution

The fourth proportional to 9,437.48, 13,023.06 and 5,188.44 is: 7,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.48 : 13,023.06 = 5,188.44 : x
  2. Step 2: Convert to fraction form
    9,437.48/13,023.06 = 5,188.44/x
  3. Step 3: Cross multiply
    9,437.48x = 13,023.06 × 5,188.44
  4. Step 4: Simplify right side
    9,437.48x = 67,569,365.43
  5. Step 5: Solve for x
    x = 67,569,365.43/9,437.48
  6. Step 6: Final answer
    x = 7,159.69

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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.