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Finding the Fourth Proportional to 6,105.47, 9,159.55 and 2,547.63

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Solution

The fourth proportional to 6,105.47, 9,159.55 and 2,547.63 is: 3,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.47 : 9,159.55 = 2,547.63 : x
  2. Step 2: Convert to fraction form
    6,105.47/9,159.55 = 2,547.63/x
  3. Step 3: Cross multiply
    6,105.47x = 9,159.55 × 2,547.63
  4. Step 4: Simplify right side
    6,105.47x = 23,335,138.00
  5. Step 5: Solve for x
    x = 23,335,138.00/6,105.47
  6. Step 6: Final answer
    x = 3,822.01

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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.