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Finding the Fourth Proportional to 6,235.88, 9,354.76 and 1,852.78

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Solution

The fourth proportional to 6,235.88, 9,354.76 and 1,852.78 is: 2,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.88 : 9,354.76 = 1,852.78 : x
  2. Step 2: Convert to fraction form
    6,235.88/9,354.76 = 1,852.78/x
  3. Step 3: Cross multiply
    6,235.88x = 9,354.76 × 1,852.78
  4. Step 4: Simplify right side
    6,235.88x = 17,332,312.23
  5. Step 5: Solve for x
    x = 17,332,312.23/6,235.88
  6. Step 6: Final answer
    x = 2,779.45

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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.