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Finding the Fourth Proportional to 7,102.45, 9,801.12 and 4,117.99

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Solution

The fourth proportional to 7,102.45, 9,801.12 and 4,117.99 is: 5,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.45 : 9,801.12 = 4,117.99 : x
  2. Step 2: Convert to fraction form
    7,102.45/9,801.12 = 4,117.99/x
  3. Step 3: Cross multiply
    7,102.45x = 9,801.12 × 4,117.99
  4. Step 4: Simplify right side
    7,102.45x = 40,360,914.15
  5. Step 5: Solve for x
    x = 40,360,914.15/7,102.45
  6. Step 6: Final answer
    x = 5,682.67

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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.