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Finding the Fourth Proportional to 9,738.24, 14,607.37 and 7,520.32

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Solution

The fourth proportional to 9,738.24, 14,607.37 and 7,520.32 is: 11,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.24 : 14,607.37 = 7,520.32 : x
  2. Step 2: Convert to fraction form
    9,738.24/14,607.37 = 7,520.32/x
  3. Step 3: Cross multiply
    9,738.24x = 14,607.37 × 7,520.32
  4. Step 4: Simplify right side
    9,738.24x = 109,852,041.44
  5. Step 5: Solve for x
    x = 109,852,041.44/9,738.24
  6. Step 6: Final answer
    x = 11,280.48

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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.