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Finding the Fourth Proportional to 10,393.73, 14,341.35 and 6,143.82

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Solution

The fourth proportional to 10,393.73, 14,341.35 and 6,143.82 is: 8,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.73 : 14,341.35 = 6,143.82 : x
  2. Step 2: Convert to fraction form
    10,393.73/14,341.35 = 6,143.82/x
  3. Step 3: Cross multiply
    10,393.73x = 14,341.35 × 6,143.82
  4. Step 4: Simplify right side
    10,393.73x = 88,110,642.22
  5. Step 5: Solve for x
    x = 88,110,642.22/10,393.73
  6. Step 6: Final answer
    x = 8,477.28

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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.