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Finding the Fourth Proportional to 9,348.84, 12,901.35 and 5,157.09

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Solution

The fourth proportional to 9,348.84, 12,901.35 and 5,157.09 is: 7,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.84 : 12,901.35 = 5,157.09 : x
  2. Step 2: Convert to fraction form
    9,348.84/12,901.35 = 5,157.09/x
  3. Step 3: Cross multiply
    9,348.84x = 12,901.35 × 5,157.09
  4. Step 4: Simplify right side
    9,348.84x = 66,533,423.07
  5. Step 5: Solve for x
    x = 66,533,423.07/9,348.84
  6. Step 6: Final answer
    x = 7,116.76

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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.