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Finding the Fourth Proportional to 9,779.46, 13,495.61 and 5,303.10

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Solution

The fourth proportional to 9,779.46, 13,495.61 and 5,303.10 is: 7,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.46 : 13,495.61 = 5,303.10 : x
  2. Step 2: Convert to fraction form
    9,779.46/13,495.61 = 5,303.10/x
  3. Step 3: Cross multiply
    9,779.46x = 13,495.61 × 5,303.10
  4. Step 4: Simplify right side
    9,779.46x = 71,568,519.39
  5. Step 5: Solve for x
    x = 71,568,519.39/9,779.46
  6. Step 6: Final answer
    x = 7,318.25

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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.