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Finding the Fourth Proportional to 9,470.24, 13,061.94 and 6,951.50

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Solution

The fourth proportional to 9,470.24, 13,061.94 and 6,951.50 is: 9,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.24 : 13,061.94 = 6,951.50 : x
  2. Step 2: Convert to fraction form
    9,470.24/13,061.94 = 6,951.50/x
  3. Step 3: Cross multiply
    9,470.24x = 13,061.94 × 6,951.50
  4. Step 4: Simplify right side
    9,470.24x = 90,800,075.91
  5. Step 5: Solve for x
    x = 90,800,075.91/9,470.24
  6. Step 6: Final answer
    x = 9,587.94

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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.