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Finding the Fourth Proportional to 9,909.09, 13,674.62 and 5,432.88

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Solution

The fourth proportional to 9,909.09, 13,674.62 and 5,432.88 is: 7,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.09 : 13,674.62 = 5,432.88 : x
  2. Step 2: Convert to fraction form
    9,909.09/13,674.62 = 5,432.88/x
  3. Step 3: Cross multiply
    9,909.09x = 13,674.62 × 5,432.88
  4. Step 4: Simplify right side
    9,909.09x = 74,292,569.51
  5. Step 5: Solve for x
    x = 74,292,569.51/9,909.09
  6. Step 6: Final answer
    x = 7,497.42

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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.