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Finding the Fourth Proportional to 9,569.79, 14,333.91 and 4,629.06

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Solution

The fourth proportional to 9,569.79, 14,333.91 and 4,629.06 is: 6,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.79 : 14,333.91 = 4,629.06 : x
  2. Step 2: Convert to fraction form
    9,569.79/14,333.91 = 4,629.06/x
  3. Step 3: Cross multiply
    9,569.79x = 14,333.91 × 4,629.06
  4. Step 4: Simplify right side
    9,569.79x = 66,352,529.42
  5. Step 5: Solve for x
    x = 66,352,529.42/9,569.79
  6. Step 6: Final answer
    x = 6,933.54

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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.