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Finding the Fourth Proportional to 9,543.89, 14,304.07 and 6,920.40

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Solution

The fourth proportional to 9,543.89, 14,304.07 and 6,920.40 is: 10,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.89 : 14,304.07 = 6,920.40 : x
  2. Step 2: Convert to fraction form
    9,543.89/14,304.07 = 6,920.40/x
  3. Step 3: Cross multiply
    9,543.89x = 14,304.07 × 6,920.40
  4. Step 4: Simplify right side
    9,543.89x = 98,989,948.32
  5. Step 5: Solve for x
    x = 98,989,948.32/9,543.89
  6. Step 6: Final answer
    x = 10,372.07

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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.