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Finding the Fourth Proportional to 9,852.67, 14,779.26 and 2,832.40

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Solution

The fourth proportional to 9,852.67, 14,779.26 and 2,832.40 is: 4,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.67 : 14,779.26 = 2,832.40 : x
  2. Step 2: Convert to fraction form
    9,852.67/14,779.26 = 2,832.40/x
  3. Step 3: Cross multiply
    9,852.67x = 14,779.26 × 2,832.40
  4. Step 4: Simplify right side
    9,852.67x = 41,860,776.02
  5. Step 5: Solve for x
    x = 41,860,776.02/9,852.67
  6. Step 6: Final answer
    x = 4,248.67

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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.