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Finding the Fourth Proportional to 9,728.29, 14,594.57 and 3,155.14

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Solution

The fourth proportional to 9,728.29, 14,594.57 and 3,155.14 is: 4,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.29 : 14,594.57 = 3,155.14 : x
  2. Step 2: Convert to fraction form
    9,728.29/14,594.57 = 3,155.14/x
  3. Step 3: Cross multiply
    9,728.29x = 14,594.57 × 3,155.14
  4. Step 4: Simplify right side
    9,728.29x = 46,047,925.89
  5. Step 5: Solve for x
    x = 46,047,925.89/9,728.29
  6. Step 6: Final answer
    x = 4,733.40

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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.