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Finding the Fourth Proportional to 9,563.81, 14,354.44 and 4,887.06

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Solution

The fourth proportional to 9,563.81, 14,354.44 and 4,887.06 is: 7,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.81 : 14,354.44 = 4,887.06 : x
  2. Step 2: Convert to fraction form
    9,563.81/14,354.44 = 4,887.06/x
  3. Step 3: Cross multiply
    9,563.81x = 14,354.44 × 4,887.06
  4. Step 4: Simplify right side
    9,563.81x = 70,151,009.55
  5. Step 5: Solve for x
    x = 70,151,009.55/9,563.81
  6. Step 6: Final answer
    x = 7,335.05

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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.