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Finding the Fourth Proportional to 9,661.32, 14,496.58 and 4,728.26

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Solution

The fourth proportional to 9,661.32, 14,496.58 and 4,728.26 is: 7,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.32 : 14,496.58 = 4,728.26 : x
  2. Step 2: Convert to fraction form
    9,661.32/14,496.58 = 4,728.26/x
  3. Step 3: Cross multiply
    9,661.32x = 14,496.58 × 4,728.26
  4. Step 4: Simplify right side
    9,661.32x = 68,543,599.35
  5. Step 5: Solve for x
    x = 68,543,599.35/9,661.32
  6. Step 6: Final answer
    x = 7,094.64

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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.