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Finding the Fourth Proportional to 9,552.24, 14,333.94 and 4,005.16

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Solution

The fourth proportional to 9,552.24, 14,333.94 and 4,005.16 is: 6,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.24 : 14,333.94 = 4,005.16 : x
  2. Step 2: Convert to fraction form
    9,552.24/14,333.94 = 4,005.16/x
  3. Step 3: Cross multiply
    9,552.24x = 14,333.94 × 4,005.16
  4. Step 4: Simplify right side
    9,552.24x = 57,409,723.13
  5. Step 5: Solve for x
    x = 57,409,723.13/9,552.24
  6. Step 6: Final answer
    x = 6,010.08

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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.