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Finding the Fourth Proportional to 9,906.79, 13,671.36 and 5,430.58

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Solution

The fourth proportional to 9,906.79, 13,671.36 and 5,430.58 is: 7,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.79 : 13,671.36 = 5,430.58 : x
  2. Step 2: Convert to fraction form
    9,906.79/13,671.36 = 5,430.58/x
  3. Step 3: Cross multiply
    9,906.79x = 13,671.36 × 5,430.58
  4. Step 4: Simplify right side
    9,906.79x = 74,243,414.19
  5. Step 5: Solve for x
    x = 74,243,414.19/9,906.79
  6. Step 6: Final answer
    x = 7,494.19

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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.