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Finding the Fourth Proportional to 9,936.64, 14,909.76 and 4,736.32

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Solution

The fourth proportional to 9,936.64, 14,909.76 and 4,736.32 is: 7,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.64 : 14,909.76 = 4,736.32 : x
  2. Step 2: Convert to fraction form
    9,936.64/14,909.76 = 4,736.32/x
  3. Step 3: Cross multiply
    9,936.64x = 14,909.76 × 4,736.32
  4. Step 4: Simplify right side
    9,936.64x = 70,617,394.48
  5. Step 5: Solve for x
    x = 70,617,394.48/9,936.64
  6. Step 6: Final answer
    x = 7,106.77

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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.