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Finding the Fourth Proportional to 9,141.76, 12,597.04 and 6,310

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Solution

The fourth proportional to 9,141.76, 12,597.04 and 6,310 is: 8,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.76 : 12,597.04 = 6,310 : x
  2. Step 2: Convert to fraction form
    9,141.76/12,597.04 = 6,310/x
  3. Step 3: Cross multiply
    9,141.76x = 12,597.04 × 6,310
  4. Step 4: Simplify right side
    9,141.76x = 79,487,322.40
  5. Step 5: Solve for x
    x = 79,487,322.40/9,141.76
  6. Step 6: Final answer
    x = 8,694.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.