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Finding the Fourth Proportional to 9,728.58, 14,594.92 and 3,154.25

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Solution

The fourth proportional to 9,728.58, 14,594.92 and 3,154.25 is: 4,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.58 : 14,594.92 = 3,154.25 : x
  2. Step 2: Convert to fraction form
    9,728.58/14,594.92 = 3,154.25/x
  3. Step 3: Cross multiply
    9,728.58x = 14,594.92 × 3,154.25
  4. Step 4: Simplify right side
    9,728.58x = 46,036,088.84
  5. Step 5: Solve for x
    x = 46,036,088.84/9,728.58
  6. Step 6: Final answer
    x = 4,732.05

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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.