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Finding the Fourth Proportional to 9,779.84, 14,671.20 and 3,540.32

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Solution

The fourth proportional to 9,779.84, 14,671.20 and 3,540.32 is: 5,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.84 : 14,671.20 = 3,540.32 : x
  2. Step 2: Convert to fraction form
    9,779.84/14,671.20 = 3,540.32/x
  3. Step 3: Cross multiply
    9,779.84x = 14,671.20 × 3,540.32
  4. Step 4: Simplify right side
    9,779.84x = 51,940,742.78
  5. Step 5: Solve for x
    x = 51,940,742.78/9,779.84
  6. Step 6: Final answer
    x = 5,311.00

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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.