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Finding the Fourth Proportional to 9,509.10, 13,122.60 and 5,317.34

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Solution

The fourth proportional to 9,509.10, 13,122.60 and 5,317.34 is: 7,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.10 : 13,122.60 = 5,317.34 : x
  2. Step 2: Convert to fraction form
    9,509.10/13,122.60 = 5,317.34/x
  3. Step 3: Cross multiply
    9,509.10x = 13,122.60 × 5,317.34
  4. Step 4: Simplify right side
    9,509.10x = 69,777,325.88
  5. Step 5: Solve for x
    x = 69,777,325.88/9,509.10
  6. Step 6: Final answer
    x = 7,337.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.