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Finding the Fourth Proportional to 9,877.43, 14,820.53 and 5,196.30

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Solution

The fourth proportional to 9,877.43, 14,820.53 and 5,196.30 is: 7,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.43 : 14,820.53 = 5,196.30 : x
  2. Step 2: Convert to fraction form
    9,877.43/14,820.53 = 5,196.30/x
  3. Step 3: Cross multiply
    9,877.43x = 14,820.53 × 5,196.30
  4. Step 4: Simplify right side
    9,877.43x = 77,011,894.06
  5. Step 5: Solve for x
    x = 77,011,894.06/9,877.43
  6. Step 6: Final answer
    x = 7,796.76

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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.