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Finding the Fourth Proportional to 9,547.90, 14,306.19 and 9,183.40

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Solution

The fourth proportional to 9,547.90, 14,306.19 and 9,183.40 is: 13,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.90 : 14,306.19 = 9,183.40 : x
  2. Step 2: Convert to fraction form
    9,547.90/14,306.19 = 9,183.40/x
  3. Step 3: Cross multiply
    9,547.90x = 14,306.19 × 9,183.40
  4. Step 4: Simplify right side
    9,547.90x = 131,379,465.25
  5. Step 5: Solve for x
    x = 131,379,465.25/9,547.90
  6. Step 6: Final answer
    x = 13,760.04

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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.