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Finding the Fourth Proportional to 9,903.36, 14,857.84 and 4,064.16

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Solution

The fourth proportional to 9,903.36, 14,857.84 and 4,064.16 is: 6,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.36 : 14,857.84 = 4,064.16 : x
  2. Step 2: Convert to fraction form
    9,903.36/14,857.84 = 4,064.16/x
  3. Step 3: Cross multiply
    9,903.36x = 14,857.84 × 4,064.16
  4. Step 4: Simplify right side
    9,903.36x = 60,384,639.01
  5. Step 5: Solve for x
    x = 60,384,639.01/9,903.36
  6. Step 6: Final answer
    x = 6,097.39

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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.