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Finding the Fourth Proportional to 9,941.28, 14,913 and 4,392.24

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Solution

The fourth proportional to 9,941.28, 14,913 and 4,392.24 is: 6,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.28 : 14,913 = 4,392.24 : x
  2. Step 2: Convert to fraction form
    9,941.28/14,913 = 4,392.24/x
  3. Step 3: Cross multiply
    9,941.28x = 14,913 × 4,392.24
  4. Step 4: Simplify right side
    9,941.28x = 65,501,475.12
  5. Step 5: Solve for x
    x = 65,501,475.12/9,941.28
  6. Step 6: Final answer
    x = 6,588.84

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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.