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Finding the Fourth Proportional to 9,779.77, 14,669.61 and 2,384.20

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Solution

The fourth proportional to 9,779.77, 14,669.61 and 2,384.20 is: 3,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.77 : 14,669.61 = 2,384.20 : x
  2. Step 2: Convert to fraction form
    9,779.77/14,669.61 = 2,384.20/x
  3. Step 3: Cross multiply
    9,779.77x = 14,669.61 × 2,384.20
  4. Step 4: Simplify right side
    9,779.77x = 34,975,284.16
  5. Step 5: Solve for x
    x = 34,975,284.16/9,779.77
  6. Step 6: Final answer
    x = 3,576.29

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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.