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Finding the Fourth Proportional to 9,887.44, 14,829.72 and 3,730

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Solution

The fourth proportional to 9,887.44, 14,829.72 and 3,730 is: 5,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.44 : 14,829.72 = 3,730 : x
  2. Step 2: Convert to fraction form
    9,887.44/14,829.72 = 3,730/x
  3. Step 3: Cross multiply
    9,887.44x = 14,829.72 × 3,730
  4. Step 4: Simplify right side
    9,887.44x = 55,314,855.60
  5. Step 5: Solve for x
    x = 55,314,855.60/9,887.44
  6. Step 6: Final answer
    x = 5,594.46

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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.