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Finding the Fourth Proportional to 9,152.94, 13,718.70 and 8,114.94

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Solution

The fourth proportional to 9,152.94, 13,718.70 and 8,114.94 is: 12,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.94 : 13,718.70 = 8,114.94 : x
  2. Step 2: Convert to fraction form
    9,152.94/13,718.70 = 8,114.94/x
  3. Step 3: Cross multiply
    9,152.94x = 13,718.70 × 8,114.94
  4. Step 4: Simplify right side
    9,152.94x = 111,326,427.38
  5. Step 5: Solve for x
    x = 111,326,427.38/9,152.94
  6. Step 6: Final answer
    x = 12,162.91

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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.