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Finding the Fourth Proportional to 9,357.01, 14,024.58 and 5,196.04

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Solution

The fourth proportional to 9,357.01, 14,024.58 and 5,196.04 is: 7,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.01 : 14,024.58 = 5,196.04 : x
  2. Step 2: Convert to fraction form
    9,357.01/14,024.58 = 5,196.04/x
  3. Step 3: Cross multiply
    9,357.01x = 14,024.58 × 5,196.04
  4. Step 4: Simplify right side
    9,357.01x = 72,872,278.66
  5. Step 5: Solve for x
    x = 72,872,278.66/9,357.01
  6. Step 6: Final answer
    x = 7,787.99

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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.