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Finding the Fourth Proportional to 9,382.54, 14,068.14 and 4,697.10

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Solution

The fourth proportional to 9,382.54, 14,068.14 and 4,697.10 is: 7,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.54 : 14,068.14 = 4,697.10 : x
  2. Step 2: Convert to fraction form
    9,382.54/14,068.14 = 4,697.10/x
  3. Step 3: Cross multiply
    9,382.54x = 14,068.14 × 4,697.10
  4. Step 4: Simplify right side
    9,382.54x = 66,079,460.39
  5. Step 5: Solve for x
    x = 66,079,460.39/9,382.54
  6. Step 6: Final answer
    x = 7,042.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.