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Finding the Fourth Proportional to 9,906.99, 13,671.75 and 5,430.64

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Solution

The fourth proportional to 9,906.99, 13,671.75 and 5,430.64 is: 7,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.99 : 13,671.75 = 5,430.64 : x
  2. Step 2: Convert to fraction form
    9,906.99/13,671.75 = 5,430.64/x
  3. Step 3: Cross multiply
    9,906.99x = 13,671.75 × 5,430.64
  4. Step 4: Simplify right side
    9,906.99x = 74,246,352.42
  5. Step 5: Solve for x
    x = 74,246,352.42/9,906.99
  6. Step 6: Final answer
    x = 7,494.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.