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Finding the Fourth Proportional to 9,403.76, 12,976.43 and 5,154.74

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Solution

The fourth proportional to 9,403.76, 12,976.43 and 5,154.74 is: 7,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.76 : 12,976.43 = 5,154.74 : x
  2. Step 2: Convert to fraction form
    9,403.76/12,976.43 = 5,154.74/x
  3. Step 3: Cross multiply
    9,403.76x = 12,976.43 × 5,154.74
  4. Step 4: Simplify right side
    9,403.76x = 66,890,136.34
  5. Step 5: Solve for x
    x = 66,890,136.34/9,403.76
  6. Step 6: Final answer
    x = 7,113.13

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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.