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Finding the Fourth Proportional to 9,282.46, 12,809.53 and 5,303.49

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Solution

The fourth proportional to 9,282.46, 12,809.53 and 5,303.49 is: 7,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.46 : 12,809.53 = 5,303.49 : x
  2. Step 2: Convert to fraction form
    9,282.46/12,809.53 = 5,303.49/x
  3. Step 3: Cross multiply
    9,282.46x = 12,809.53 × 5,303.49
  4. Step 4: Simplify right side
    9,282.46x = 67,935,214.26
  5. Step 5: Solve for x
    x = 67,935,214.26/9,282.46
  6. Step 6: Final answer
    x = 7,318.66

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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.