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Finding the Fourth Proportional to 9,779.27, 13,495.41 and 5,302.98

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Solution

The fourth proportional to 9,779.27, 13,495.41 and 5,302.98 is: 7,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.27 : 13,495.41 = 5,302.98 : x
  2. Step 2: Convert to fraction form
    9,779.27/13,495.41 = 5,302.98/x
  3. Step 3: Cross multiply
    9,779.27x = 13,495.41 × 5,302.98
  4. Step 4: Simplify right side
    9,779.27x = 71,565,889.32
  5. Step 5: Solve for x
    x = 71,565,889.32/9,779.27
  6. Step 6: Final answer
    x = 7,318.13

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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.