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Finding the Fourth Proportional to 9,623.61, 14,426.91 and 9,042.84

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Solution

The fourth proportional to 9,623.61, 14,426.91 and 9,042.84 is: 13,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.61 : 14,426.91 = 9,042.84 : x
  2. Step 2: Convert to fraction form
    9,623.61/14,426.91 = 9,042.84/x
  3. Step 3: Cross multiply
    9,623.61x = 14,426.91 × 9,042.84
  4. Step 4: Simplify right side
    9,623.61x = 130,460,238.82
  5. Step 5: Solve for x
    x = 130,460,238.82/9,623.61
  6. Step 6: Final answer
    x = 13,556.27

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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.