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Finding the Fourth Proportional to 9,369.19, 14,047.31 and 4,101.67

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Solution

The fourth proportional to 9,369.19, 14,047.31 and 4,101.67 is: 6,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.19 : 14,047.31 = 4,101.67 : x
  2. Step 2: Convert to fraction form
    9,369.19/14,047.31 = 4,101.67/x
  3. Step 3: Cross multiply
    9,369.19x = 14,047.31 × 4,101.67
  4. Step 4: Simplify right side
    9,369.19x = 57,617,409.50
  5. Step 5: Solve for x
    x = 57,617,409.50/9,369.19
  6. Step 6: Final answer
    x = 6,149.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.