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Finding the Fourth Proportional to 9,779.12, 13,477.56 and 7,122.32

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Solution

The fourth proportional to 9,779.12, 13,477.56 and 7,122.32 is: 9,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.12 : 13,477.56 = 7,122.32 : x
  2. Step 2: Convert to fraction form
    9,779.12/13,477.56 = 7,122.32/x
  3. Step 3: Cross multiply
    9,779.12x = 13,477.56 × 7,122.32
  4. Step 4: Simplify right side
    9,779.12x = 95,991,495.14
  5. Step 5: Solve for x
    x = 95,991,495.14/9,779.12
  6. Step 6: Final answer
    x = 9,815.96

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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.