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Finding the Fourth Proportional to 6,838.64, 9,437.10 and 4,322.10

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Solution

The fourth proportional to 6,838.64, 9,437.10 and 4,322.10 is: 5,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.64 : 9,437.10 = 4,322.10 : x
  2. Step 2: Convert to fraction form
    6,838.64/9,437.10 = 4,322.10/x
  3. Step 3: Cross multiply
    6,838.64x = 9,437.10 × 4,322.10
  4. Step 4: Simplify right side
    6,838.64x = 40,788,089.91
  5. Step 5: Solve for x
    x = 40,788,089.91/6,838.64
  6. Step 6: Final answer
    x = 5,964.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.