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Finding the Fourth Proportional to 9,728.96, 14,595.76 and 3,155.16

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Solution

The fourth proportional to 9,728.96, 14,595.76 and 3,155.16 is: 4,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.96 : 14,595.76 = 3,155.16 : x
  2. Step 2: Convert to fraction form
    9,728.96/14,595.76 = 3,155.16/x
  3. Step 3: Cross multiply
    9,728.96x = 14,595.76 × 3,155.16
  4. Step 4: Simplify right side
    9,728.96x = 46,051,958.12
  5. Step 5: Solve for x
    x = 46,051,958.12/9,728.96
  6. Step 6: Final answer
    x = 4,733.49

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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.