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Finding the Fourth Proportional to 9,904.90, 14,856.62 and 3,662.01

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Solution

The fourth proportional to 9,904.90, 14,856.62 and 3,662.01 is: 5,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.90 : 14,856.62 = 3,662.01 : x
  2. Step 2: Convert to fraction form
    9,904.90/14,856.62 = 3,662.01/x
  3. Step 3: Cross multiply
    9,904.90x = 14,856.62 × 3,662.01
  4. Step 4: Simplify right side
    9,904.90x = 54,405,091.01
  5. Step 5: Solve for x
    x = 54,405,091.01/9,904.90
  6. Step 6: Final answer
    x = 5,492.75

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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.