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Finding the Fourth Proportional to 9,878.08, 14,797.44 and 6,750.40

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Solution

The fourth proportional to 9,878.08, 14,797.44 and 6,750.40 is: 10,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.08 : 14,797.44 = 6,750.40 : x
  2. Step 2: Convert to fraction form
    9,878.08/14,797.44 = 6,750.40/x
  3. Step 3: Cross multiply
    9,878.08x = 14,797.44 × 6,750.40
  4. Step 4: Simplify right side
    9,878.08x = 99,888,638.98
  5. Step 5: Solve for x
    x = 99,888,638.98/9,878.08
  6. Step 6: Final answer
    x = 10,112.15

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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.