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Finding the Fourth Proportional to 9,901.80, 14,828.70 and 5,274.60

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Solution

The fourth proportional to 9,901.80, 14,828.70 and 5,274.60 is: 7,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.80 : 14,828.70 = 5,274.60 : x
  2. Step 2: Convert to fraction form
    9,901.80/14,828.70 = 5,274.60/x
  3. Step 3: Cross multiply
    9,901.80x = 14,828.70 × 5,274.60
  4. Step 4: Simplify right side
    9,901.80x = 78,215,461.02
  5. Step 5: Solve for x
    x = 78,215,461.02/9,901.80
  6. Step 6: Final answer
    x = 7,899.12

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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.