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Finding the Fourth Proportional to 9,245.66, 13,870.68 and 3,005.67

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Solution

The fourth proportional to 9,245.66, 13,870.68 and 3,005.67 is: 4,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.66 : 13,870.68 = 3,005.67 : x
  2. Step 2: Convert to fraction form
    9,245.66/13,870.68 = 3,005.67/x
  3. Step 3: Cross multiply
    9,245.66x = 13,870.68 × 3,005.67
  4. Step 4: Simplify right side
    9,245.66x = 41,690,686.76
  5. Step 5: Solve for x
    x = 41,690,686.76/9,245.66
  6. Step 6: Final answer
    x = 4,509.22

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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.