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Finding the Fourth Proportional to 9,141.50, 12,622.40 and 7,013.65

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Solution

The fourth proportional to 9,141.50, 12,622.40 and 7,013.65 is: 9,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.50 : 12,622.40 = 7,013.65 : x
  2. Step 2: Convert to fraction form
    9,141.50/12,622.40 = 7,013.65/x
  3. Step 3: Cross multiply
    9,141.50x = 12,622.40 × 7,013.65
  4. Step 4: Simplify right side
    9,141.50x = 88,529,095.76
  5. Step 5: Solve for x
    x = 88,529,095.76/9,141.50
  6. Step 6: Final answer
    x = 9,684.31

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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.