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Finding the Fourth Proportional to 9,446.12, 13,037.30 and 5,413.13

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Solution

The fourth proportional to 9,446.12, 13,037.30 and 5,413.13 is: 7,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.12 : 13,037.30 = 5,413.13 : x
  2. Step 2: Convert to fraction form
    9,446.12/13,037.30 = 5,413.13/x
  3. Step 3: Cross multiply
    9,446.12x = 13,037.30 × 5,413.13
  4. Step 4: Simplify right side
    9,446.12x = 70,572,607.13
  5. Step 5: Solve for x
    x = 70,572,607.13/9,446.12
  6. Step 6: Final answer
    x = 7,471.07

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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.