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Finding the Fourth Proportional to 9,250.12, 13,905.25 and 7,421.24

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Solution

The fourth proportional to 9,250.12, 13,905.25 and 7,421.24 is: 11,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.12 : 13,905.25 = 7,421.24 : x
  2. Step 2: Convert to fraction form
    9,250.12/13,905.25 = 7,421.24/x
  3. Step 3: Cross multiply
    9,250.12x = 13,905.25 × 7,421.24
  4. Step 4: Simplify right side
    9,250.12x = 103,194,197.51
  5. Step 5: Solve for x
    x = 103,194,197.51/9,250.12
  6. Step 6: Final answer
    x = 11,155.98

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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.