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Finding the Fourth Proportional to 9,363.75, 14,051.70 and 4,746.75

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Solution

The fourth proportional to 9,363.75, 14,051.70 and 4,746.75 is: 7,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.75 : 14,051.70 = 4,746.75 : x
  2. Step 2: Convert to fraction form
    9,363.75/14,051.70 = 4,746.75/x
  3. Step 3: Cross multiply
    9,363.75x = 14,051.70 × 4,746.75
  4. Step 4: Simplify right side
    9,363.75x = 66,699,906.98
  5. Step 5: Solve for x
    x = 66,699,906.98/9,363.75
  6. Step 6: Final answer
    x = 7,123.20

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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.