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Finding the Fourth Proportional to 6,345.30, 9,507.15 and 5,243.70

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Solution

The fourth proportional to 6,345.30, 9,507.15 and 5,243.70 is: 7,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.30 : 9,507.15 = 5,243.70 : x
  2. Step 2: Convert to fraction form
    6,345.30/9,507.15 = 5,243.70/x
  3. Step 3: Cross multiply
    6,345.30x = 9,507.15 × 5,243.70
  4. Step 4: Simplify right side
    6,345.30x = 49,852,642.46
  5. Step 5: Solve for x
    x = 49,852,642.46/6,345.30
  6. Step 6: Final answer
    x = 7,856.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.