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Finding the Fourth Proportional to 9,853.76, 13,600.46 and 6,497.16

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Solution

The fourth proportional to 9,853.76, 13,600.46 and 6,497.16 is: 8,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.76 : 13,600.46 = 6,497.16 : x
  2. Step 2: Convert to fraction form
    9,853.76/13,600.46 = 6,497.16/x
  3. Step 3: Cross multiply
    9,853.76x = 13,600.46 × 6,497.16
  4. Step 4: Simplify right side
    9,853.76x = 88,364,364.69
  5. Step 5: Solve for x
    x = 88,364,364.69/9,853.76
  6. Step 6: Final answer
    x = 8,967.58

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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.