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Finding the Fourth Proportional to 9,545.75, 13,173.08 and 5,296.77

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Solution

The fourth proportional to 9,545.75, 13,173.08 and 5,296.77 is: 7,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.75 : 13,173.08 = 5,296.77 : x
  2. Step 2: Convert to fraction form
    9,545.75/13,173.08 = 5,296.77/x
  3. Step 3: Cross multiply
    9,545.75x = 13,173.08 × 5,296.77
  4. Step 4: Simplify right side
    9,545.75x = 69,774,748.47
  5. Step 5: Solve for x
    x = 69,774,748.47/9,545.75
  6. Step 6: Final answer
    x = 7,309.51

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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.