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Finding the Fourth Proportional to 9,493.93, 13,103.13 and 5,302.18

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Solution

The fourth proportional to 9,493.93, 13,103.13 and 5,302.18 is: 7,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.93 : 13,103.13 = 5,302.18 : x
  2. Step 2: Convert to fraction form
    9,493.93/13,103.13 = 5,302.18/x
  3. Step 3: Cross multiply
    9,493.93x = 13,103.13 × 5,302.18
  4. Step 4: Simplify right side
    9,493.93x = 69,475,153.82
  5. Step 5: Solve for x
    x = 69,475,153.82/9,493.93
  6. Step 6: Final answer
    x = 7,317.85

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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.