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Finding the Fourth Proportional to 9,378.14, 14,060.93 and 3,829.97

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Solution

The fourth proportional to 9,378.14, 14,060.93 and 3,829.97 is: 5,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.14 : 14,060.93 = 3,829.97 : x
  2. Step 2: Convert to fraction form
    9,378.14/14,060.93 = 3,829.97/x
  3. Step 3: Cross multiply
    9,378.14x = 14,060.93 × 3,829.97
  4. Step 4: Simplify right side
    9,378.14x = 53,852,956.07
  5. Step 5: Solve for x
    x = 53,852,956.07/9,378.14
  6. Step 6: Final answer
    x = 5,742.40

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1.5x scale

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.