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Finding the Fourth Proportional to 9,674.03, 14,501.62 and 4,999.31

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Solution

The fourth proportional to 9,674.03, 14,501.62 and 4,999.31 is: 7,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.03 : 14,501.62 = 4,999.31 : x
  2. Step 2: Convert to fraction form
    9,674.03/14,501.62 = 4,999.31/x
  3. Step 3: Cross multiply
    9,674.03x = 14,501.62 × 4,999.31
  4. Step 4: Simplify right side
    9,674.03x = 72,498,068.89
  5. Step 5: Solve for x
    x = 72,498,068.89/9,674.03
  6. Step 6: Final answer
    x = 7,494.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.