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Finding the Fourth Proportional to 9,779.64, 14,662.17 and 5,883.14

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Solution

The fourth proportional to 9,779.64, 14,662.17 and 5,883.14 is: 8,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.64 : 14,662.17 = 5,883.14 : x
  2. Step 2: Convert to fraction form
    9,779.64/14,662.17 = 5,883.14/x
  3. Step 3: Cross multiply
    9,779.64x = 14,662.17 × 5,883.14
  4. Step 4: Simplify right side
    9,779.64x = 86,259,525.50
  5. Step 5: Solve for x
    x = 86,259,525.50/9,779.64
  6. Step 6: Final answer
    x = 8,820.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.