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Finding the Fourth Proportional to 9,353.69, 14,032.84 and 2,779.86

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Solution

The fourth proportional to 9,353.69, 14,032.84 and 2,779.86 is: 4,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.69 : 14,032.84 = 2,779.86 : x
  2. Step 2: Convert to fraction form
    9,353.69/14,032.84 = 2,779.86/x
  3. Step 3: Cross multiply
    9,353.69x = 14,032.84 × 2,779.86
  4. Step 4: Simplify right side
    9,353.69x = 39,009,330.60
  5. Step 5: Solve for x
    x = 39,009,330.60/9,353.69
  6. Step 6: Final answer
    x = 4,170.48

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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.