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Finding the Fourth Proportional to 9,297.47, 13,943.45 and 3,056.33

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Solution

The fourth proportional to 9,297.47, 13,943.45 and 3,056.33 is: 4,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.47 : 13,943.45 = 3,056.33 : x
  2. Step 2: Convert to fraction form
    9,297.47/13,943.45 = 3,056.33/x
  3. Step 3: Cross multiply
    9,297.47x = 13,943.45 × 3,056.33
  4. Step 4: Simplify right side
    9,297.47x = 42,615,827.04
  5. Step 5: Solve for x
    x = 42,615,827.04/9,297.47
  6. Step 6: Final answer
    x = 4,583.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.