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Finding the Fourth Proportional to 9,643.88, 14,360.43 and 9,289.19

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Solution

The fourth proportional to 9,643.88, 14,360.43 and 9,289.19 is: 13,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.88 : 14,360.43 = 9,289.19 : x
  2. Step 2: Convert to fraction form
    9,643.88/14,360.43 = 9,289.19/x
  3. Step 3: Cross multiply
    9,643.88x = 14,360.43 × 9,289.19
  4. Step 4: Simplify right side
    9,643.88x = 133,396,690.95
  5. Step 5: Solve for x
    x = 133,396,690.95/9,643.88
  6. Step 6: Final answer
    x = 13,832.27

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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.