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Finding the Fourth Proportional to 9,303.69, 12,838.92 and 5,270.50

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Solution

The fourth proportional to 9,303.69, 12,838.92 and 5,270.50 is: 7,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.69 : 12,838.92 = 5,270.50 : x
  2. Step 2: Convert to fraction form
    9,303.69/12,838.92 = 5,270.50/x
  3. Step 3: Cross multiply
    9,303.69x = 12,838.92 × 5,270.50
  4. Step 4: Simplify right side
    9,303.69x = 67,667,463.67
  5. Step 5: Solve for x
    x = 67,667,463.67/9,303.69
  6. Step 6: Final answer
    x = 7,273.19

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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.