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Finding the Fourth Proportional to 9,779.12, 13,495.15 and 5,302.86

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Solution

The fourth proportional to 9,779.12, 13,495.15 and 5,302.86 is: 7,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.12 : 13,495.15 = 5,302.86 : x
  2. Step 2: Convert to fraction form
    9,779.12/13,495.15 = 5,302.86/x
  3. Step 3: Cross multiply
    9,779.12x = 13,495.15 × 5,302.86
  4. Step 4: Simplify right side
    9,779.12x = 71,562,891.13
  5. Step 5: Solve for x
    x = 71,562,891.13/9,779.12
  6. Step 6: Final answer
    x = 7,317.93

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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.