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Finding the Fourth Proportional to 9,619.94, 14,409.08 and 4,679.22

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Solution

The fourth proportional to 9,619.94, 14,409.08 and 4,679.22 is: 7,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.94 : 14,409.08 = 4,679.22 : x
  2. Step 2: Convert to fraction form
    9,619.94/14,409.08 = 4,679.22/x
  3. Step 3: Cross multiply
    9,619.94x = 14,409.08 × 4,679.22
  4. Step 4: Simplify right side
    9,619.94x = 67,423,255.32
  5. Step 5: Solve for x
    x = 67,423,255.32/9,619.94
  6. Step 6: Final answer
    x = 7,008.70

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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.