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Finding the Fourth Proportional to 9,612.30, 14,403.84 and 7,135.50

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Solution

The fourth proportional to 9,612.30, 14,403.84 and 7,135.50 is: 10,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.30 : 14,403.84 = 7,135.50 : x
  2. Step 2: Convert to fraction form
    9,612.30/14,403.84 = 7,135.50/x
  3. Step 3: Cross multiply
    9,612.30x = 14,403.84 × 7,135.50
  4. Step 4: Simplify right side
    9,612.30x = 102,778,600.32
  5. Step 5: Solve for x
    x = 102,778,600.32/9,612.30
  6. Step 6: Final answer
    x = 10,692.40

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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.