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Finding the Fourth Proportional to 6,171.16, 9,276.81 and 4,951.93

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Solution

The fourth proportional to 6,171.16, 9,276.81 and 4,951.93 is: 7,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.16 : 9,276.81 = 4,951.93 : x
  2. Step 2: Convert to fraction form
    6,171.16/9,276.81 = 4,951.93/x
  3. Step 3: Cross multiply
    6,171.16x = 9,276.81 × 4,951.93
  4. Step 4: Simplify right side
    6,171.16x = 45,938,113.74
  5. Step 5: Solve for x
    x = 45,938,113.74/6,171.16
  6. Step 6: Final answer
    x = 7,444.00

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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.