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Finding the Fourth Proportional to 7,053.81, 9,734.04 and 3,988.07

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Solution

The fourth proportional to 7,053.81, 9,734.04 and 3,988.07 is: 5,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.81 : 9,734.04 = 3,988.07 : x
  2. Step 2: Convert to fraction form
    7,053.81/9,734.04 = 3,988.07/x
  3. Step 3: Cross multiply
    7,053.81x = 9,734.04 × 3,988.07
  4. Step 4: Simplify right side
    7,053.81x = 38,819,984.23
  5. Step 5: Solve for x
    x = 38,819,984.23/7,053.81
  6. Step 6: Final answer
    x = 5,503.41

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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.