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Finding the Fourth Proportional to 9,659.16, 14,491.80 and 4,729.32

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Solution

The fourth proportional to 9,659.16, 14,491.80 and 4,729.32 is: 7,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.16 : 14,491.80 = 4,729.32 : x
  2. Step 2: Convert to fraction form
    9,659.16/14,491.80 = 4,729.32/x
  3. Step 3: Cross multiply
    9,659.16x = 14,491.80 × 4,729.32
  4. Step 4: Simplify right side
    9,659.16x = 68,536,359.58
  5. Step 5: Solve for x
    x = 68,536,359.58/9,659.16
  6. Step 6: Final answer
    x = 7,095.48

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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.