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Finding the Fourth Proportional to 9,437.68, 13,024.25 and 5,459.05

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Solution

The fourth proportional to 9,437.68, 13,024.25 and 5,459.05 is: 7,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.68 : 13,024.25 = 5,459.05 : x
  2. Step 2: Convert to fraction form
    9,437.68/13,024.25 = 5,459.05/x
  3. Step 3: Cross multiply
    9,437.68x = 13,024.25 × 5,459.05
  4. Step 4: Simplify right side
    9,437.68x = 71,100,031.96
  5. Step 5: Solve for x
    x = 71,100,031.96/9,437.68
  6. Step 6: Final answer
    x = 7,533.63

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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.