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Finding the Fourth Proportional to 9,497.13, 13,103.40 and 6,140.10

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Solution

The fourth proportional to 9,497.13, 13,103.40 and 6,140.10 is: 8,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.13 : 13,103.40 = 6,140.10 : x
  2. Step 2: Convert to fraction form
    9,497.13/13,103.40 = 6,140.10/x
  3. Step 3: Cross multiply
    9,497.13x = 13,103.40 × 6,140.10
  4. Step 4: Simplify right side
    9,497.13x = 80,456,186.34
  5. Step 5: Solve for x
    x = 80,456,186.34/9,497.13
  6. Step 6: Final answer
    x = 8,471.63

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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.