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Finding the Fourth Proportional to 9,283.47, 12,809.84 and 5,303.82

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Solution

The fourth proportional to 9,283.47, 12,809.84 and 5,303.82 is: 7,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.47 : 12,809.84 = 5,303.82 : x
  2. Step 2: Convert to fraction form
    9,283.47/12,809.84 = 5,303.82/x
  3. Step 3: Cross multiply
    9,283.47x = 12,809.84 × 5,303.82
  4. Step 4: Simplify right side
    9,283.47x = 67,941,043.14
  5. Step 5: Solve for x
    x = 67,941,043.14/9,283.47
  6. Step 6: Final answer
    x = 7,318.49

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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.