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Finding the Fourth Proportional to 9,282.37, 12,809.69 and 5,303.47

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Solution

The fourth proportional to 9,282.37, 12,809.69 and 5,303.47 is: 7,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.37 : 12,809.69 = 5,303.47 : x
  2. Step 2: Convert to fraction form
    9,282.37/12,809.69 = 5,303.47/x
  3. Step 3: Cross multiply
    9,282.37x = 12,809.69 × 5,303.47
  4. Step 4: Simplify right side
    9,282.37x = 67,935,767.97
  5. Step 5: Solve for x
    x = 67,935,767.97/9,282.37
  6. Step 6: Final answer
    x = 7,318.80

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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.