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Finding the Fourth Proportional to 9,345.84, 12,897.21 and 5,154.09

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Solution

The fourth proportional to 9,345.84, 12,897.21 and 5,154.09 is: 7,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.84 : 12,897.21 = 5,154.09 : x
  2. Step 2: Convert to fraction form
    9,345.84/12,897.21 = 5,154.09/x
  3. Step 3: Cross multiply
    9,345.84x = 12,897.21 × 5,154.09
  4. Step 4: Simplify right side
    9,345.84x = 66,473,381.09
  5. Step 5: Solve for x
    x = 66,473,381.09/9,345.84
  6. Step 6: Final answer
    x = 7,112.62

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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.