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Finding the Fourth Proportional to 9,705.15, 14,557.73 and 4,154.90

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Solution

The fourth proportional to 9,705.15, 14,557.73 and 4,154.90 is: 6,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.15 : 14,557.73 = 4,154.90 : x
  2. Step 2: Convert to fraction form
    9,705.15/14,557.73 = 4,154.90/x
  3. Step 3: Cross multiply
    9,705.15x = 14,557.73 × 4,154.90
  4. Step 4: Simplify right side
    9,705.15x = 60,485,912.38
  5. Step 5: Solve for x
    x = 60,485,912.38/9,705.15
  6. Step 6: Final answer
    x = 6,232.35

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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.