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Finding the Fourth Proportional to 9,443.84, 13,032.51 and 5,252

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Solution

The fourth proportional to 9,443.84, 13,032.51 and 5,252 is: 7,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.84 : 13,032.51 = 5,252 : x
  2. Step 2: Convert to fraction form
    9,443.84/13,032.51 = 5,252/x
  3. Step 3: Cross multiply
    9,443.84x = 13,032.51 × 5,252
  4. Step 4: Simplify right side
    9,443.84x = 68,446,742.52
  5. Step 5: Solve for x
    x = 68,446,742.52/9,443.84
  6. Step 6: Final answer
    x = 7,247.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.