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Finding the Fourth Proportional to 9,729.16, 14,594.24 and 3,155.88

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Solution

The fourth proportional to 9,729.16, 14,594.24 and 3,155.88 is: 4,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.16 : 14,594.24 = 3,155.88 : x
  2. Step 2: Convert to fraction form
    9,729.16/14,594.24 = 3,155.88/x
  3. Step 3: Cross multiply
    9,729.16x = 14,594.24 × 3,155.88
  4. Step 4: Simplify right side
    9,729.16x = 46,057,670.13
  5. Step 5: Solve for x
    x = 46,057,670.13/9,729.16
  6. Step 6: Final answer
    x = 4,733.98

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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.