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Finding the Fourth Proportional to 9,779.16, 13,495.50 and 5,530.98

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Solution

The fourth proportional to 9,779.16, 13,495.50 and 5,530.98 is: 7,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.16 : 13,495.50 = 5,530.98 : x
  2. Step 2: Convert to fraction form
    9,779.16/13,495.50 = 5,530.98/x
  3. Step 3: Cross multiply
    9,779.16x = 13,495.50 × 5,530.98
  4. Step 4: Simplify right side
    9,779.16x = 74,643,340.59
  5. Step 5: Solve for x
    x = 74,643,340.59/9,779.16
  6. Step 6: Final answer
    x = 7,632.90

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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.