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Finding the Fourth Proportional to 9,289.16, 13,934.12 and 2,363.84

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Solution

The fourth proportional to 9,289.16, 13,934.12 and 2,363.84 is: 3,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.16 : 13,934.12 = 2,363.84 : x
  2. Step 2: Convert to fraction form
    9,289.16/13,934.12 = 2,363.84/x
  3. Step 3: Cross multiply
    9,289.16x = 13,934.12 × 2,363.84
  4. Step 4: Simplify right side
    9,289.16x = 32,938,030.22
  5. Step 5: Solve for x
    x = 32,938,030.22/9,289.16
  6. Step 6: Final answer
    x = 3,545.86

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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.