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Finding the Fourth Proportional to 9,314.55, 12,853.98 and 5,065.74

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Solution

The fourth proportional to 9,314.55, 12,853.98 and 5,065.74 is: 6,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.55 : 12,853.98 = 5,065.74 : x
  2. Step 2: Convert to fraction form
    9,314.55/12,853.98 = 5,065.74/x
  3. Step 3: Cross multiply
    9,314.55x = 12,853.98 × 5,065.74
  4. Step 4: Simplify right side
    9,314.55x = 65,114,920.65
  5. Step 5: Solve for x
    x = 65,114,920.65/9,314.55
  6. Step 6: Final answer
    x = 6,990.67

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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.