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Finding the Fourth Proportional to 9,317.47, 12,857.90 and 5,340.93

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Solution

The fourth proportional to 9,317.47, 12,857.90 and 5,340.93 is: 7,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.47 : 12,857.90 = 5,340.93 : x
  2. Step 2: Convert to fraction form
    9,317.47/12,857.90 = 5,340.93/x
  3. Step 3: Cross multiply
    9,317.47x = 12,857.90 × 5,340.93
  4. Step 4: Simplify right side
    9,317.47x = 68,673,143.85
  5. Step 5: Solve for x
    x = 68,673,143.85/9,317.47
  6. Step 6: Final answer
    x = 7,370.36

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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.