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Finding the Fourth Proportional to 9,615.96, 14,426.28 and 4,934.16

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Solution

The fourth proportional to 9,615.96, 14,426.28 and 4,934.16 is: 7,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.96 : 14,426.28 = 4,934.16 : x
  2. Step 2: Convert to fraction form
    9,615.96/14,426.28 = 4,934.16/x
  3. Step 3: Cross multiply
    9,615.96x = 14,426.28 × 4,934.16
  4. Step 4: Simplify right side
    9,615.96x = 71,181,573.72
  5. Step 5: Solve for x
    x = 71,181,573.72/9,615.96
  6. Step 6: Final answer
    x = 7,402.44

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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.