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Finding the Fourth Proportional to 9,909.54, 13,674.78 and 5,432.94

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Solution

The fourth proportional to 9,909.54, 13,674.78 and 5,432.94 is: 7,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.54 : 13,674.78 = 5,432.94 : x
  2. Step 2: Convert to fraction form
    9,909.54/13,674.78 = 5,432.94/x
  3. Step 3: Cross multiply
    9,909.54x = 13,674.78 × 5,432.94
  4. Step 4: Simplify right side
    9,909.54x = 74,294,259.25
  5. Step 5: Solve for x
    x = 74,294,259.25/9,909.54
  6. Step 6: Final answer
    x = 7,497.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.