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Finding the Fourth Proportional to 9,817.84, 14,715.08 and 4,545.48

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Solution

The fourth proportional to 9,817.84, 14,715.08 and 4,545.48 is: 6,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.84 : 14,715.08 = 4,545.48 : x
  2. Step 2: Convert to fraction form
    9,817.84/14,715.08 = 4,545.48/x
  3. Step 3: Cross multiply
    9,817.84x = 14,715.08 × 4,545.48
  4. Step 4: Simplify right side
    9,817.84x = 66,887,101.84
  5. Step 5: Solve for x
    x = 66,887,101.84/9,817.84
  6. Step 6: Final answer
    x = 6,812.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.