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Finding the Fourth Proportional to 9,120.78, 13,681.31 and 2,547

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Solution

The fourth proportional to 9,120.78, 13,681.31 and 2,547 is: 3,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.78 : 13,681.31 = 2,547 : x
  2. Step 2: Convert to fraction form
    9,120.78/13,681.31 = 2,547/x
  3. Step 3: Cross multiply
    9,120.78x = 13,681.31 × 2,547
  4. Step 4: Simplify right side
    9,120.78x = 34,846,283.84
  5. Step 5: Solve for x
    x = 34,846,283.84/9,120.78
  6. Step 6: Final answer
    x = 3,820.54

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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.