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Finding the Fourth Proportional to 9,589.65, 14,386.70 and 3,015.67

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Solution

The fourth proportional to 9,589.65, 14,386.70 and 3,015.67 is: 4,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.65 : 14,386.70 = 3,015.67 : x
  2. Step 2: Convert to fraction form
    9,589.65/14,386.70 = 3,015.67/x
  3. Step 3: Cross multiply
    9,589.65x = 14,386.70 × 3,015.67
  4. Step 4: Simplify right side
    9,589.65x = 43,385,513.66
  5. Step 5: Solve for x
    x = 43,385,513.66/9,589.65
  6. Step 6: Final answer
    x = 4,524.20

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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.