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Finding the Fourth Proportional to 9,007.56, 13,509.50 and 3,461.90

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Solution

The fourth proportional to 9,007.56, 13,509.50 and 3,461.90 is: 5,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.56 : 13,509.50 = 3,461.90 : x
  2. Step 2: Convert to fraction form
    9,007.56/13,509.50 = 3,461.90/x
  3. Step 3: Cross multiply
    9,007.56x = 13,509.50 × 3,461.90
  4. Step 4: Simplify right side
    9,007.56x = 46,768,538.05
  5. Step 5: Solve for x
    x = 46,768,538.05/9,007.56
  6. Step 6: Final answer
    x = 5,192.14

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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.