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Finding the Fourth Proportional to 9,630.72, 14,430.72 and 5,529.60

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Solution

The fourth proportional to 9,630.72, 14,430.72 and 5,529.60 is: 8,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.72 : 14,430.72 = 5,529.60 : x
  2. Step 2: Convert to fraction form
    9,630.72/14,430.72 = 5,529.60/x
  3. Step 3: Cross multiply
    9,630.72x = 14,430.72 × 5,529.60
  4. Step 4: Simplify right side
    9,630.72x = 79,796,109.31
  5. Step 5: Solve for x
    x = 79,796,109.31/9,630.72
  6. Step 6: Final answer
    x = 8,285.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.