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Finding the Fourth Proportional to 9,389.64, 12,957.93 and 5,197.89

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Solution

The fourth proportional to 9,389.64, 12,957.93 and 5,197.89 is: 7,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.64 : 12,957.93 = 5,197.89 : x
  2. Step 2: Convert to fraction form
    9,389.64/12,957.93 = 5,197.89/x
  3. Step 3: Cross multiply
    9,389.64x = 12,957.93 × 5,197.89
  4. Step 4: Simplify right side
    9,389.64x = 67,353,894.77
  5. Step 5: Solve for x
    x = 67,353,894.77/9,389.64
  6. Step 6: Final answer
    x = 7,173.21

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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.