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Finding the Fourth Proportional to 9,024.32, 13,533.10 and 3,099.52

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Solution

The fourth proportional to 9,024.32, 13,533.10 and 3,099.52 is: 4,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.32 : 13,533.10 = 3,099.52 : x
  2. Step 2: Convert to fraction form
    9,024.32/13,533.10 = 3,099.52/x
  3. Step 3: Cross multiply
    9,024.32x = 13,533.10 × 3,099.52
  4. Step 4: Simplify right side
    9,024.32x = 41,946,114.11
  5. Step 5: Solve for x
    x = 41,946,114.11/9,024.32
  6. Step 6: Final answer
    x = 4,648.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.