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Finding the Fourth Proportional to 9,169.34, 12,653.69 and 4,977.59

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Solution

The fourth proportional to 9,169.34, 12,653.69 and 4,977.59 is: 6,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.34 : 12,653.69 = 4,977.59 : x
  2. Step 2: Convert to fraction form
    9,169.34/12,653.69 = 4,977.59/x
  3. Step 3: Cross multiply
    9,169.34x = 12,653.69 × 4,977.59
  4. Step 4: Simplify right side
    9,169.34x = 62,984,792.65
  5. Step 5: Solve for x
    x = 62,984,792.65/9,169.34
  6. Step 6: Final answer
    x = 6,869.07

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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.