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Finding the Fourth Proportional to 9,431.25, 14,203.29 and 8,590.50

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Solution

The fourth proportional to 9,431.25, 14,203.29 and 8,590.50 is: 12,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.25 : 14,203.29 = 8,590.50 : x
  2. Step 2: Convert to fraction form
    9,431.25/14,203.29 = 8,590.50/x
  3. Step 3: Cross multiply
    9,431.25x = 14,203.29 × 8,590.50
  4. Step 4: Simplify right side
    9,431.25x = 122,013,416.01
  5. Step 5: Solve for x
    x = 122,013,416.01/9,431.25
  6. Step 6: Final answer
    x = 12,937.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.