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Finding the Fourth Proportional to 9,605.16, 14,398.94 and 8,133.84

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Solution

The fourth proportional to 9,605.16, 14,398.94 and 8,133.84 is: 12,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.16 : 14,398.94 = 8,133.84 : x
  2. Step 2: Convert to fraction form
    9,605.16/14,398.94 = 8,133.84/x
  3. Step 3: Cross multiply
    9,605.16x = 14,398.94 × 8,133.84
  4. Step 4: Simplify right side
    9,605.16x = 117,118,674.13
  5. Step 5: Solve for x
    x = 117,118,674.13/9,605.16
  6. Step 6: Final answer
    x = 12,193.31

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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.