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Finding the Fourth Proportional to 9,317.50, 12,858.24 and 5,125.78

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Solution

The fourth proportional to 9,317.50, 12,858.24 and 5,125.78 is: 7,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.50 : 12,858.24 = 5,125.78 : x
  2. Step 2: Convert to fraction form
    9,317.50/12,858.24 = 5,125.78/x
  3. Step 3: Cross multiply
    9,317.50x = 12,858.24 × 5,125.78
  4. Step 4: Simplify right side
    9,317.50x = 65,908,509.43
  5. Step 5: Solve for x
    x = 65,908,509.43/9,317.50
  6. Step 6: Final answer
    x = 7,073.63

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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.