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Finding the Fourth Proportional to 9,313.65, 12,853.05 and 5,064.93

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Solution

The fourth proportional to 9,313.65, 12,853.05 and 5,064.93 is: 6,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.65 : 12,853.05 = 5,064.93 : x
  2. Step 2: Convert to fraction form
    9,313.65/12,853.05 = 5,064.93/x
  3. Step 3: Cross multiply
    9,313.65x = 12,853.05 × 5,064.93
  4. Step 4: Simplify right side
    9,313.65x = 65,099,798.54
  5. Step 5: Solve for x
    x = 65,099,798.54/9,313.65
  6. Step 6: Final answer
    x = 6,989.72

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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.