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Finding the Fourth Proportional to 7,024.44, 9,695.77 and 4,636.16

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Solution

The fourth proportional to 7,024.44, 9,695.77 and 4,636.16 is: 6,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.44 : 9,695.77 = 4,636.16 : x
  2. Step 2: Convert to fraction form
    7,024.44/9,695.77 = 4,636.16/x
  3. Step 3: Cross multiply
    7,024.44x = 9,695.77 × 4,636.16
  4. Step 4: Simplify right side
    7,024.44x = 44,951,117.33
  5. Step 5: Solve for x
    x = 44,951,117.33/7,024.44
  6. Step 6: Final answer
    x = 6,399.24

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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.