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Finding the Fourth Proportional to 9,988.48, 14,984.64 and 3,832

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Solution

The fourth proportional to 9,988.48, 14,984.64 and 3,832 is: 5,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.48 : 14,984.64 = 3,832 : x
  2. Step 2: Convert to fraction form
    9,988.48/14,984.64 = 3,832/x
  3. Step 3: Cross multiply
    9,988.48x = 14,984.64 × 3,832
  4. Step 4: Simplify right side
    9,988.48x = 57,421,140.48
  5. Step 5: Solve for x
    x = 57,421,140.48/9,988.48
  6. Step 6: Final answer
    x = 5,748.74

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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.