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Finding the Fourth Proportional to 9,833.68, 14,731.08 and 7,630.48

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Solution

The fourth proportional to 9,833.68, 14,731.08 and 7,630.48 is: 11,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.68 : 14,731.08 = 7,630.48 : x
  2. Step 2: Convert to fraction form
    9,833.68/14,731.08 = 7,630.48/x
  3. Step 3: Cross multiply
    9,833.68x = 14,731.08 × 7,630.48
  4. Step 4: Simplify right side
    9,833.68x = 112,405,211.32
  5. Step 5: Solve for x
    x = 112,405,211.32/9,833.68
  6. Step 6: Final answer
    x = 11,430.64

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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.