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Finding the Fourth Proportional to 9,318.81, 13,975.23 and 3,077.65

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Solution

The fourth proportional to 9,318.81, 13,975.23 and 3,077.65 is: 4,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.81 : 13,975.23 = 3,077.65 : x
  2. Step 2: Convert to fraction form
    9,318.81/13,975.23 = 3,077.65/x
  3. Step 3: Cross multiply
    9,318.81x = 13,975.23 × 3,077.65
  4. Step 4: Simplify right side
    9,318.81x = 43,010,866.61
  5. Step 5: Solve for x
    x = 43,010,866.61/9,318.81
  6. Step 6: Final answer
    x = 4,615.49

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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.