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Finding the Fourth Proportional to 9,436.78, 13,023.03 and 5,459.14

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Solution

The fourth proportional to 9,436.78, 13,023.03 and 5,459.14 is: 7,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.78 : 13,023.03 = 5,459.14 : x
  2. Step 2: Convert to fraction form
    9,436.78/13,023.03 = 5,459.14/x
  3. Step 3: Cross multiply
    9,436.78x = 13,023.03 × 5,459.14
  4. Step 4: Simplify right side
    9,436.78x = 71,094,543.99
  5. Step 5: Solve for x
    x = 71,094,543.99/9,436.78
  6. Step 6: Final answer
    x = 7,533.77

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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.