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Finding the Fourth Proportional to 9,779.06, 13,496.87 and 6,415.94

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Solution

The fourth proportional to 9,779.06, 13,496.87 and 6,415.94 is: 8,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.06 : 13,496.87 = 6,415.94 : x
  2. Step 2: Convert to fraction form
    9,779.06/13,496.87 = 6,415.94/x
  3. Step 3: Cross multiply
    9,779.06x = 13,496.87 × 6,415.94
  4. Step 4: Simplify right side
    9,779.06x = 86,595,108.11
  5. Step 5: Solve for x
    x = 86,595,108.11/9,779.06
  6. Step 6: Final answer
    x = 8,855.16

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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.