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Finding the Fourth Proportional to 9,602.17, 14,409.34 and 3,758.63

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Solution

The fourth proportional to 9,602.17, 14,409.34 and 3,758.63 is: 5,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.17 : 14,409.34 = 3,758.63 : x
  2. Step 2: Convert to fraction form
    9,602.17/14,409.34 = 3,758.63/x
  3. Step 3: Cross multiply
    9,602.17x = 14,409.34 × 3,758.63
  4. Step 4: Simplify right side
    9,602.17x = 54,159,296.16
  5. Step 5: Solve for x
    x = 54,159,296.16/9,602.17
  6. Step 6: Final answer
    x = 5,640.32

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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.