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Finding the Fourth Proportional to 6,475.05, 9,712.47 and 2,313.93

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Solution

The fourth proportional to 6,475.05, 9,712.47 and 2,313.93 is: 3,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.05 : 9,712.47 = 2,313.93 : x
  2. Step 2: Convert to fraction form
    6,475.05/9,712.47 = 2,313.93/x
  3. Step 3: Cross multiply
    6,475.05x = 9,712.47 × 2,313.93
  4. Step 4: Simplify right side
    6,475.05x = 22,473,975.71
  5. Step 5: Solve for x
    x = 22,473,975.71/6,475.05
  6. Step 6: Final answer
    x = 3,470.86

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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.