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Finding the Fourth Proportional to 9,659.84, 14,488.44 and 3,085.28

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Solution

The fourth proportional to 9,659.84, 14,488.44 and 3,085.28 is: 4,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.84 : 14,488.44 = 3,085.28 : x
  2. Step 2: Convert to fraction form
    9,659.84/14,488.44 = 3,085.28/x
  3. Step 3: Cross multiply
    9,659.84x = 14,488.44 × 3,085.28
  4. Step 4: Simplify right side
    9,659.84x = 44,700,894.16
  5. Step 5: Solve for x
    x = 44,700,894.16/9,659.84
  6. Step 6: Final answer
    x = 4,627.50

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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.