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Finding the Fourth Proportional to 9,437.71, 13,023.24 and 5,188.54

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Solution

The fourth proportional to 9,437.71, 13,023.24 and 5,188.54 is: 7,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.71 : 13,023.24 = 5,188.54 : x
  2. Step 2: Convert to fraction form
    9,437.71/13,023.24 = 5,188.54/x
  3. Step 3: Cross multiply
    9,437.71x = 13,023.24 × 5,188.54
  4. Step 4: Simplify right side
    9,437.71x = 67,571,601.67
  5. Step 5: Solve for x
    x = 67,571,601.67/9,437.71
  6. Step 6: Final answer
    x = 7,159.75

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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.