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Finding the Fourth Proportional to 9,552.85, 14,334.84 and 4,005.77

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Solution

The fourth proportional to 9,552.85, 14,334.84 and 4,005.77 is: 6,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.85 : 14,334.84 = 4,005.77 : x
  2. Step 2: Convert to fraction form
    9,552.85/14,334.84 = 4,005.77/x
  3. Step 3: Cross multiply
    9,552.85x = 14,334.84 × 4,005.77
  4. Step 4: Simplify right side
    9,552.85x = 57,422,000.35
  5. Step 5: Solve for x
    x = 57,422,000.35/9,552.85
  6. Step 6: Final answer
    x = 6,010.98

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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.