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Finding the Fourth Proportional to 9,986.15, 13,780.40 and 5,509.08

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Solution

The fourth proportional to 9,986.15, 13,780.40 and 5,509.08 is: 7,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.15 : 13,780.40 = 5,509.08 : x
  2. Step 2: Convert to fraction form
    9,986.15/13,780.40 = 5,509.08/x
  3. Step 3: Cross multiply
    9,986.15x = 13,780.40 × 5,509.08
  4. Step 4: Simplify right side
    9,986.15x = 75,917,298.49
  5. Step 5: Solve for x
    x = 75,917,298.49/9,986.15
  6. Step 6: Final answer
    x = 7,602.26

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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.