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Finding the Fourth Proportional to 9,574, 13,212.93 and 5,383.06

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Solution

The fourth proportional to 9,574, 13,212.93 and 5,383.06 is: 7,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574 : 13,212.93 = 5,383.06 : x
  2. Step 2: Convert to fraction form
    9,574/13,212.93 = 5,383.06/x
  3. Step 3: Cross multiply
    9,574x = 13,212.93 × 5,383.06
  4. Step 4: Simplify right side
    9,574x = 71,125,994.97
  5. Step 5: Solve for x
    x = 71,125,994.97/9,574
  6. Step 6: Final answer
    x = 7,429.08

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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.