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Finding the Fourth Proportional to 9,653.64, 14,479.62 and 4,971

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Solution

The fourth proportional to 9,653.64, 14,479.62 and 4,971 is: 7,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.64 : 14,479.62 = 4,971 : x
  2. Step 2: Convert to fraction form
    9,653.64/14,479.62 = 4,971/x
  3. Step 3: Cross multiply
    9,653.64x = 14,479.62 × 4,971
  4. Step 4: Simplify right side
    9,653.64x = 71,978,191.02
  5. Step 5: Solve for x
    x = 71,978,191.02/9,653.64
  6. Step 6: Final answer
    x = 7,456.07

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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.