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Finding the Fourth Proportional to 9,064.86, 13,595.76 and 3,220.14

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Solution

The fourth proportional to 9,064.86, 13,595.76 and 3,220.14 is: 4,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.86 : 13,595.76 = 3,220.14 : x
  2. Step 2: Convert to fraction form
    9,064.86/13,595.76 = 3,220.14/x
  3. Step 3: Cross multiply
    9,064.86x = 13,595.76 × 3,220.14
  4. Step 4: Simplify right side
    9,064.86x = 43,780,250.61
  5. Step 5: Solve for x
    x = 43,780,250.61/9,064.86
  6. Step 6: Final answer
    x = 4,829.67

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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.