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Finding the Fourth Proportional to 9,724.43, 13,415.04 and 9,347.18

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Solution

The fourth proportional to 9,724.43, 13,415.04 and 9,347.18 is: 12,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.43 : 13,415.04 = 9,347.18 : x
  2. Step 2: Convert to fraction form
    9,724.43/13,415.04 = 9,347.18/x
  3. Step 3: Cross multiply
    9,724.43x = 13,415.04 × 9,347.18
  4. Step 4: Simplify right side
    9,724.43x = 125,392,726.51
  5. Step 5: Solve for x
    x = 125,392,726.51/9,724.43
  6. Step 6: Final answer
    x = 12,894.61

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1.5x scale

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.