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Finding the Fourth Proportional to 9,877.40, 14,822.18 and 5,200.80

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Solution

The fourth proportional to 9,877.40, 14,822.18 and 5,200.80 is: 7,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.40 : 14,822.18 = 5,200.80 : x
  2. Step 2: Convert to fraction form
    9,877.40/14,822.18 = 5,200.80/x
  3. Step 3: Cross multiply
    9,877.40x = 14,822.18 × 5,200.80
  4. Step 4: Simplify right side
    9,877.40x = 77,087,193.74
  5. Step 5: Solve for x
    x = 77,087,193.74/9,877.40
  6. Step 6: Final answer
    x = 7,804.40

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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.