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Finding the Fourth Proportional to 9,549.21, 14,259.50 and 7,797.63

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Solution

The fourth proportional to 9,549.21, 14,259.50 and 7,797.63 is: 11,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.21 : 14,259.50 = 7,797.63 : x
  2. Step 2: Convert to fraction form
    9,549.21/14,259.50 = 7,797.63/x
  3. Step 3: Cross multiply
    9,549.21x = 14,259.50 × 7,797.63
  4. Step 4: Simplify right side
    9,549.21x = 111,190,304.99
  5. Step 5: Solve for x
    x = 111,190,304.99/9,549.21
  6. Step 6: Final answer
    x = 11,643.93

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.