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Finding the Fourth Proportional to 9,026.84, 13,546.90 and 4,283.01

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Solution

The fourth proportional to 9,026.84, 13,546.90 and 4,283.01 is: 6,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.84 : 13,546.90 = 4,283.01 : x
  2. Step 2: Convert to fraction form
    9,026.84/13,546.90 = 4,283.01/x
  3. Step 3: Cross multiply
    9,026.84x = 13,546.90 × 4,283.01
  4. Step 4: Simplify right side
    9,026.84x = 58,021,518.88
  5. Step 5: Solve for x
    x = 58,021,518.88/9,026.84
  6. Step 6: Final answer
    x = 6,427.67

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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.