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Finding the Fourth Proportional to 6,889.41, 9,502.95 and 4,734.93

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Solution

The fourth proportional to 6,889.41, 9,502.95 and 4,734.93 is: 6,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.41 : 9,502.95 = 4,734.93 : x
  2. Step 2: Convert to fraction form
    6,889.41/9,502.95 = 4,734.93/x
  3. Step 3: Cross multiply
    6,889.41x = 9,502.95 × 4,734.93
  4. Step 4: Simplify right side
    6,889.41x = 44,995,803.04
  5. Step 5: Solve for x
    x = 44,995,803.04/6,889.41
  6. Step 6: Final answer
    x = 6,531.15

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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.