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Finding the Fourth Proportional to 9,533.78, 14,292.16 and 4,851.17

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Solution

The fourth proportional to 9,533.78, 14,292.16 and 4,851.17 is: 7,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.78 : 14,292.16 = 4,851.17 : x
  2. Step 2: Convert to fraction form
    9,533.78/14,292.16 = 4,851.17/x
  3. Step 3: Cross multiply
    9,533.78x = 14,292.16 × 4,851.17
  4. Step 4: Simplify right side
    9,533.78x = 69,333,697.83
  5. Step 5: Solve for x
    x = 69,333,697.83/9,533.78
  6. Step 6: Final answer
    x = 7,272.42

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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.