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Finding the Fourth Proportional to 9,547.86, 14,306.22 and 4,861.44

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Solution

The fourth proportional to 9,547.86, 14,306.22 and 4,861.44 is: 7,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.86 : 14,306.22 = 4,861.44 : x
  2. Step 2: Convert to fraction form
    9,547.86/14,306.22 = 4,861.44/x
  3. Step 3: Cross multiply
    9,547.86x = 14,306.22 × 4,861.44
  4. Step 4: Simplify right side
    9,547.86x = 69,548,830.16
  5. Step 5: Solve for x
    x = 69,548,830.16/9,547.86
  6. Step 6: Final answer
    x = 7,284.23

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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.