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Finding the Fourth Proportional to 9,354.13, 14,033.63 and 4,673.95

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Solution

The fourth proportional to 9,354.13, 14,033.63 and 4,673.95 is: 7,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.13 : 14,033.63 = 4,673.95 : x
  2. Step 2: Convert to fraction form
    9,354.13/14,033.63 = 4,673.95/x
  3. Step 3: Cross multiply
    9,354.13x = 14,033.63 × 4,673.95
  4. Step 4: Simplify right side
    9,354.13x = 65,592,473.25
  5. Step 5: Solve for x
    x = 65,592,473.25/9,354.13
  6. Step 6: Final answer
    x = 7,012.14

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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.