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Finding the Fourth Proportional to 9,985.30, 13,779.82 and 5,509.22

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Solution

The fourth proportional to 9,985.30, 13,779.82 and 5,509.22 is: 7,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.30 : 13,779.82 = 5,509.22 : x
  2. Step 2: Convert to fraction form
    9,985.30/13,779.82 = 5,509.22/x
  3. Step 3: Cross multiply
    9,985.30x = 13,779.82 × 5,509.22
  4. Step 4: Simplify right side
    9,985.30x = 75,916,059.94
  5. Step 5: Solve for x
    x = 75,916,059.94/9,985.30
  6. Step 6: Final answer
    x = 7,602.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.