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Finding the Fourth Proportional to 7,032.50, 9,705.11 and 3,846.00

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Solution

The fourth proportional to 7,032.50, 9,705.11 and 3,846.00 is: 5,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.50 : 9,705.11 = 3,846.00 : x
  2. Step 2: Convert to fraction form
    7,032.50/9,705.11 = 3,846.00/x
  3. Step 3: Cross multiply
    7,032.50x = 9,705.11 × 3,846.00
  4. Step 4: Simplify right side
    7,032.50x = 37,325,870.22
  5. Step 5: Solve for x
    x = 37,325,870.22/7,032.50
  6. Step 6: Final answer
    x = 5,307.63

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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.