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Finding the Fourth Proportional to 9,563.40, 14,345.99 and 3,720.45

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Solution

The fourth proportional to 9,563.40, 14,345.99 and 3,720.45 is: 5,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.40 : 14,345.99 = 3,720.45 : x
  2. Step 2: Convert to fraction form
    9,563.40/14,345.99 = 3,720.45/x
  3. Step 3: Cross multiply
    9,563.40x = 14,345.99 × 3,720.45
  4. Step 4: Simplify right side
    9,563.40x = 53,373,538.50
  5. Step 5: Solve for x
    x = 53,373,538.50/9,563.40
  6. Step 6: Final answer
    x = 5,581.02

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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.