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Finding the Fourth Proportional to 7,098.57, 9,779.70 and 5,605.95

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Solution

The fourth proportional to 7,098.57, 9,779.70 and 5,605.95 is: 7,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.57 : 9,779.70 = 5,605.95 : x
  2. Step 2: Convert to fraction form
    7,098.57/9,779.70 = 5,605.95/x
  3. Step 3: Cross multiply
    7,098.57x = 9,779.70 × 5,605.95
  4. Step 4: Simplify right side
    7,098.57x = 54,824,509.22
  5. Step 5: Solve for x
    x = 54,824,509.22/7,098.57
  6. Step 6: Final answer
    x = 7,723.32

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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.