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Finding the Fourth Proportional to 9,333.59, 13,968.10 and 7,648.24

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Solution

The fourth proportional to 9,333.59, 13,968.10 and 7,648.24 is: 11,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.59 : 13,968.10 = 7,648.24 : x
  2. Step 2: Convert to fraction form
    9,333.59/13,968.10 = 7,648.24/x
  3. Step 3: Cross multiply
    9,333.59x = 13,968.10 × 7,648.24
  4. Step 4: Simplify right side
    9,333.59x = 106,831,280.02
  5. Step 5: Solve for x
    x = 106,831,280.02/9,333.59
  6. Step 6: Final answer
    x = 11,445.89

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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.