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Finding the Fourth Proportional to 9,683.30, 14,512.80 and 4,742.30

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Solution

The fourth proportional to 9,683.30, 14,512.80 and 4,742.30 is: 7,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.30 : 14,512.80 = 4,742.30 : x
  2. Step 2: Convert to fraction form
    9,683.30/14,512.80 = 4,742.30/x
  3. Step 3: Cross multiply
    9,683.30x = 14,512.80 × 4,742.30
  4. Step 4: Simplify right side
    9,683.30x = 68,824,051.44
  5. Step 5: Solve for x
    x = 68,824,051.44/9,683.30
  6. Step 6: Final answer
    x = 7,107.50

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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.