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Finding the Fourth Proportional to 6,156.91, 9,237.64 and 4,415.81

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Solution

The fourth proportional to 6,156.91, 9,237.64 and 4,415.81 is: 6,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.91 : 9,237.64 = 4,415.81 : x
  2. Step 2: Convert to fraction form
    6,156.91/9,237.64 = 4,415.81/x
  3. Step 3: Cross multiply
    6,156.91x = 9,237.64 × 4,415.81
  4. Step 4: Simplify right side
    6,156.91x = 40,791,641.01
  5. Step 5: Solve for x
    x = 40,791,641.01/6,156.91
  6. Step 6: Final answer
    x = 6,625.35

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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.