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Finding the Fourth Proportional to 9,876.40, 14,820.66 and 5,199.78

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Solution

The fourth proportional to 9,876.40, 14,820.66 and 5,199.78 is: 7,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.40 : 14,820.66 = 5,199.78 : x
  2. Step 2: Convert to fraction form
    9,876.40/14,820.66 = 5,199.78/x
  3. Step 3: Cross multiply
    9,876.40x = 14,820.66 × 5,199.78
  4. Step 4: Simplify right side
    9,876.40x = 77,064,171.45
  5. Step 5: Solve for x
    x = 77,064,171.45/9,876.40
  6. Step 6: Final answer
    x = 7,802.86

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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.