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Finding the Fourth Proportional to 9,364.06, 12,916.86 and 6,005.64

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Solution

The fourth proportional to 9,364.06, 12,916.86 and 6,005.64 is: 8,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.06 : 12,916.86 = 6,005.64 : x
  2. Step 2: Convert to fraction form
    9,364.06/12,916.86 = 6,005.64/x
  3. Step 3: Cross multiply
    9,364.06x = 12,916.86 × 6,005.64
  4. Step 4: Simplify right side
    9,364.06x = 77,574,011.09
  5. Step 5: Solve for x
    x = 77,574,011.09/9,364.06
  6. Step 6: Final answer
    x = 8,284.23

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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.