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Finding the Fourth Proportional to 9,402.61, 12,975.52 and 5,153.90

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Solution

The fourth proportional to 9,402.61, 12,975.52 and 5,153.90 is: 7,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.61 : 12,975.52 = 5,153.90 : x
  2. Step 2: Convert to fraction form
    9,402.61/12,975.52 = 5,153.90/x
  3. Step 3: Cross multiply
    9,402.61x = 12,975.52 × 5,153.90
  4. Step 4: Simplify right side
    9,402.61x = 66,874,559.41
  5. Step 5: Solve for x
    x = 66,874,559.41/9,402.61
  6. Step 6: Final answer
    x = 7,112.34

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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.