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Finding the Fourth Proportional to 9,899.36, 13,656.48 and 5,705.20

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Solution

The fourth proportional to 9,899.36, 13,656.48 and 5,705.20 is: 7,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.36 : 13,656.48 = 5,705.20 : x
  2. Step 2: Convert to fraction form
    9,899.36/13,656.48 = 5,705.20/x
  3. Step 3: Cross multiply
    9,899.36x = 13,656.48 × 5,705.20
  4. Step 4: Simplify right side
    9,899.36x = 77,912,949.70
  5. Step 5: Solve for x
    x = 77,912,949.70/9,899.36
  6. Step 6: Final answer
    x = 7,870.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.