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Finding the Fourth Proportional to 28,370.16, 42,546.24 and 9,646.86

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Solution

The fourth proportional to 28,370.16, 42,546.24 and 9,646.86 is: 14,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,370.16 : 42,546.24 = 9,646.86 : x
  2. Step 2: Convert to fraction form
    28,370.16/42,546.24 = 9,646.86/x
  3. Step 3: Cross multiply
    28,370.16x = 42,546.24 × 9,646.86
  4. Step 4: Simplify right side
    28,370.16x = 410,437,620.81
  5. Step 5: Solve for x
    x = 410,437,620.81/28,370.16
  6. Step 6: Final answer
    x = 14,467.23

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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.