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Finding the Fourth Proportional to 9,437.40, 13,023.54 and 5,188.44

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Solution

The fourth proportional to 9,437.40, 13,023.54 and 5,188.44 is: 7,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.40 : 13,023.54 = 5,188.44 : x
  2. Step 2: Convert to fraction form
    9,437.40/13,023.54 = 5,188.44/x
  3. Step 3: Cross multiply
    9,437.40x = 13,023.54 × 5,188.44
  4. Step 4: Simplify right side
    9,437.40x = 67,571,855.88
  5. Step 5: Solve for x
    x = 67,571,855.88/9,437.40
  6. Step 6: Final answer
    x = 7,160.01

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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.