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Finding the Fourth Proportional to 9,723.40, 14,588.70 and 9,363.40

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Solution

The fourth proportional to 9,723.40, 14,588.70 and 9,363.40 is: 14,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.40 : 14,588.70 = 9,363.40 : x
  2. Step 2: Convert to fraction form
    9,723.40/14,588.70 = 9,363.40/x
  3. Step 3: Cross multiply
    9,723.40x = 14,588.70 × 9,363.40
  4. Step 4: Simplify right side
    9,723.40x = 136,599,833.58
  5. Step 5: Solve for x
    x = 136,599,833.58/9,723.40
  6. Step 6: Final answer
    x = 14,048.57

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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.