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Finding the Fourth Proportional to 9,344.84, 12,895.80 and 5,153

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Solution

The fourth proportional to 9,344.84, 12,895.80 and 5,153 is: 7,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.84 : 12,895.80 = 5,153 : x
  2. Step 2: Convert to fraction form
    9,344.84/12,895.80 = 5,153/x
  3. Step 3: Cross multiply
    9,344.84x = 12,895.80 × 5,153
  4. Step 4: Simplify right side
    9,344.84x = 66,452,057.40
  5. Step 5: Solve for x
    x = 66,452,057.40/9,344.84
  6. Step 6: Final answer
    x = 7,111.10

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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.