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Finding the Fourth Proportional to 9,545.75, 13,174.72 and 5,298.18

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Solution

The fourth proportional to 9,545.75, 13,174.72 and 5,298.18 is: 7,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.75 : 13,174.72 = 5,298.18 : x
  2. Step 2: Convert to fraction form
    9,545.75/13,174.72 = 5,298.18/x
  3. Step 3: Cross multiply
    9,545.75x = 13,174.72 × 5,298.18
  4. Step 4: Simplify right side
    9,545.75x = 69,802,038.01
  5. Step 5: Solve for x
    x = 69,802,038.01/9,545.75
  6. Step 6: Final answer
    x = 7,312.37

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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.