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Finding the Fourth Proportional to 6,274.02, 9,415.54 and 5,056.14

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Solution

The fourth proportional to 6,274.02, 9,415.54 and 5,056.14 is: 7,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.02 : 9,415.54 = 5,056.14 : x
  2. Step 2: Convert to fraction form
    6,274.02/9,415.54 = 5,056.14/x
  3. Step 3: Cross multiply
    6,274.02x = 9,415.54 × 5,056.14
  4. Step 4: Simplify right side
    6,274.02x = 47,606,288.42
  5. Step 5: Solve for x
    x = 47,606,288.42/6,274.02
  6. Step 6: Final answer
    x = 7,587.84

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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.