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Finding the Fourth Proportional to 9,533.22, 14,302.93 and 4,603.42

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Solution

The fourth proportional to 9,533.22, 14,302.93 and 4,603.42 is: 6,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.22 : 14,302.93 = 4,603.42 : x
  2. Step 2: Convert to fraction form
    9,533.22/14,302.93 = 4,603.42/x
  3. Step 3: Cross multiply
    9,533.22x = 14,302.93 × 4,603.42
  4. Step 4: Simplify right side
    9,533.22x = 65,842,394.02
  5. Step 5: Solve for x
    x = 65,842,394.02/9,533.22
  6. Step 6: Final answer
    x = 6,906.63

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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.