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Finding the Fourth Proportional to 9,989.64, 14,991.15 and 4,146.25

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Solution

The fourth proportional to 9,989.64, 14,991.15 and 4,146.25 is: 6,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.64 : 14,991.15 = 4,146.25 : x
  2. Step 2: Convert to fraction form
    9,989.64/14,991.15 = 4,146.25/x
  3. Step 3: Cross multiply
    9,989.64x = 14,991.15 × 4,146.25
  4. Step 4: Simplify right side
    9,989.64x = 62,157,055.69
  5. Step 5: Solve for x
    x = 62,157,055.69/9,989.64
  6. Step 6: Final answer
    x = 6,222.15

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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.