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Finding the Fourth Proportional to 9,660.58, 14,485.31 and 5,152.08

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Solution

The fourth proportional to 9,660.58, 14,485.31 and 5,152.08 is: 7,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.58 : 14,485.31 = 5,152.08 : x
  2. Step 2: Convert to fraction form
    9,660.58/14,485.31 = 5,152.08/x
  3. Step 3: Cross multiply
    9,660.58x = 14,485.31 × 5,152.08
  4. Step 4: Simplify right side
    9,660.58x = 74,629,416.40
  5. Step 5: Solve for x
    x = 74,629,416.40/9,660.58
  6. Step 6: Final answer
    x = 7,725.15

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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.