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Finding the Fourth Proportional to 9,389.81, 12,928.38 and 7,970.52

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Solution

The fourth proportional to 9,389.81, 12,928.38 and 7,970.52 is: 10,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.81 : 12,928.38 = 7,970.52 : x
  2. Step 2: Convert to fraction form
    9,389.81/12,928.38 = 7,970.52/x
  3. Step 3: Cross multiply
    9,389.81x = 12,928.38 × 7,970.52
  4. Step 4: Simplify right side
    9,389.81x = 103,045,911.36
  5. Step 5: Solve for x
    x = 103,045,911.36/9,389.81
  6. Step 6: Final answer
    x = 10,974.23

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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.