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Finding the Fourth Proportional to 9,068.76, 13,586.94 and 6,878.52

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Solution

The fourth proportional to 9,068.76, 13,586.94 and 6,878.52 is: 10,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.76 : 13,586.94 = 6,878.52 : x
  2. Step 2: Convert to fraction form
    9,068.76/13,586.94 = 6,878.52/x
  3. Step 3: Cross multiply
    9,068.76x = 13,586.94 × 6,878.52
  4. Step 4: Simplify right side
    9,068.76x = 93,458,038.53
  5. Step 5: Solve for x
    x = 93,458,038.53/9,068.76
  6. Step 6: Final answer
    x = 10,305.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.