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Finding the Fourth Proportional to 9,047.65, 13,563.67 and 4,370.94

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Solution

The fourth proportional to 9,047.65, 13,563.67 and 4,370.94 is: 6,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.65 : 13,563.67 = 4,370.94 : x
  2. Step 2: Convert to fraction form
    9,047.65/13,563.67 = 4,370.94/x
  3. Step 3: Cross multiply
    9,047.65x = 13,563.67 × 4,370.94
  4. Step 4: Simplify right side
    9,047.65x = 59,285,985.02
  5. Step 5: Solve for x
    x = 59,285,985.02/9,047.65
  6. Step 6: Final answer
    x = 6,552.64

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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.