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Finding the Fourth Proportional to 9,185.76, 13,779.54 and 3,342.24

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Solution

The fourth proportional to 9,185.76, 13,779.54 and 3,342.24 is: 5,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.76 : 13,779.54 = 3,342.24 : x
  2. Step 2: Convert to fraction form
    9,185.76/13,779.54 = 3,342.24/x
  3. Step 3: Cross multiply
    9,185.76x = 13,779.54 × 3,342.24
  4. Step 4: Simplify right side
    9,185.76x = 46,054,529.77
  5. Step 5: Solve for x
    x = 46,054,529.77/9,185.76
  6. Step 6: Final answer
    x = 5,013.69

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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.