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Finding the Fourth Proportional to 9,779.81, 13,496.06 and 5,303.57

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Solution

The fourth proportional to 9,779.81, 13,496.06 and 5,303.57 is: 7,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.81 : 13,496.06 = 5,303.57 : x
  2. Step 2: Convert to fraction form
    9,779.81/13,496.06 = 5,303.57/x
  3. Step 3: Cross multiply
    9,779.81x = 13,496.06 × 5,303.57
  4. Step 4: Simplify right side
    9,779.81x = 71,577,214.88
  5. Step 5: Solve for x
    x = 71,577,214.88/9,779.81
  6. Step 6: Final answer
    x = 7,318.88

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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.