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Finding the Fourth Proportional to 9,988.64, 14,989.65 and 4,145.25

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Solution

The fourth proportional to 9,988.64, 14,989.65 and 4,145.25 is: 6,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.64 : 14,989.65 = 4,145.25 : x
  2. Step 2: Convert to fraction form
    9,988.64/14,989.65 = 4,145.25/x
  3. Step 3: Cross multiply
    9,988.64x = 14,989.65 × 4,145.25
  4. Step 4: Simplify right side
    9,988.64x = 62,135,887.33
  5. Step 5: Solve for x
    x = 62,135,887.33/9,988.64
  6. Step 6: Final answer
    x = 6,220.66

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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.