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Finding the Fourth Proportional to 9,547.76, 14,319.48 and 2,622.80

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Solution

The fourth proportional to 9,547.76, 14,319.48 and 2,622.80 is: 3,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.76 : 14,319.48 = 2,622.80 : x
  2. Step 2: Convert to fraction form
    9,547.76/14,319.48 = 2,622.80/x
  3. Step 3: Cross multiply
    9,547.76x = 14,319.48 × 2,622.80
  4. Step 4: Simplify right side
    9,547.76x = 37,557,132.14
  5. Step 5: Solve for x
    x = 37,557,132.14/9,547.76
  6. Step 6: Final answer
    x = 3,933.61

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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.