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Finding the Fourth Proportional to 9,176, 13,758.24 and 6,678.08

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Solution

The fourth proportional to 9,176, 13,758.24 and 6,678.08 is: 10,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176 : 13,758.24 = 6,678.08 : x
  2. Step 2: Convert to fraction form
    9,176/13,758.24 = 6,678.08/x
  3. Step 3: Cross multiply
    9,176x = 13,758.24 × 6,678.08
  4. Step 4: Simplify right side
    9,176x = 91,878,627.38
  5. Step 5: Solve for x
    x = 91,878,627.38/9,176
  6. Step 6: Final answer
    x = 10,012.93

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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.