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Finding the Fourth Proportional to 9,497.86, 13,102.43 and 6,143.58

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Solution

The fourth proportional to 9,497.86, 13,102.43 and 6,143.58 is: 8,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.86 : 13,102.43 = 6,143.58 : x
  2. Step 2: Convert to fraction form
    9,497.86/13,102.43 = 6,143.58/x
  3. Step 3: Cross multiply
    9,497.86x = 13,102.43 × 6,143.58
  4. Step 4: Simplify right side
    9,497.86x = 80,495,796.18
  5. Step 5: Solve for x
    x = 80,495,796.18/9,497.86
  6. Step 6: Final answer
    x = 8,475.15

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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.