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Finding the Fourth Proportional to 9,441.84, 13,030.11 and 5,250

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Solution

The fourth proportional to 9,441.84, 13,030.11 and 5,250 is: 7,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.84 : 13,030.11 = 5,250 : x
  2. Step 2: Convert to fraction form
    9,441.84/13,030.11 = 5,250/x
  3. Step 3: Cross multiply
    9,441.84x = 13,030.11 × 5,250
  4. Step 4: Simplify right side
    9,441.84x = 68,408,077.50
  5. Step 5: Solve for x
    x = 68,408,077.50/9,441.84
  6. Step 6: Final answer
    x = 7,245.21

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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.