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Finding the Fourth Proportional to 6,531.41, 9,005.91 and 4,956.77

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Solution

The fourth proportional to 6,531.41, 9,005.91 and 4,956.77 is: 6,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.41 : 9,005.91 = 4,956.77 : x
  2. Step 2: Convert to fraction form
    6,531.41/9,005.91 = 4,956.77/x
  3. Step 3: Cross multiply
    6,531.41x = 9,005.91 × 4,956.77
  4. Step 4: Simplify right side
    6,531.41x = 44,640,224.51
  5. Step 5: Solve for x
    x = 44,640,224.51/6,531.41
  6. Step 6: Final answer
    x = 6,834.70

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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.