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Finding the Fourth Proportional to 9,690.51, 13,366.71 and 6,102

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Solution

The fourth proportional to 9,690.51, 13,366.71 and 6,102 is: 8,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.51 : 13,366.71 = 6,102 : x
  2. Step 2: Convert to fraction form
    9,690.51/13,366.71 = 6,102/x
  3. Step 3: Cross multiply
    9,690.51x = 13,366.71 × 6,102
  4. Step 4: Simplify right side
    9,690.51x = 81,563,664.42
  5. Step 5: Solve for x
    x = 81,563,664.42/9,690.51
  6. Step 6: Final answer
    x = 8,416.86

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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.