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Finding the Fourth Proportional to 9,947.40, 14,925.90 and 7,019.40

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Solution

The fourth proportional to 9,947.40, 14,925.90 and 7,019.40 is: 10,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.40 : 14,925.90 = 7,019.40 : x
  2. Step 2: Convert to fraction form
    9,947.40/14,925.90 = 7,019.40/x
  3. Step 3: Cross multiply
    9,947.40x = 14,925.90 × 7,019.40
  4. Step 4: Simplify right side
    9,947.40x = 104,770,862.46
  5. Step 5: Solve for x
    x = 104,770,862.46/9,947.40
  6. Step 6: Final answer
    x = 10,532.49

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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.