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Finding the Fourth Proportional to 9,477.50, 14,188.16 and 7,023.33

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Solution

The fourth proportional to 9,477.50, 14,188.16 and 7,023.33 is: 10,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.50 : 14,188.16 = 7,023.33 : x
  2. Step 2: Convert to fraction form
    9,477.50/14,188.16 = 7,023.33/x
  3. Step 3: Cross multiply
    9,477.50x = 14,188.16 × 7,023.33
  4. Step 4: Simplify right side
    9,477.50x = 99,648,164.71
  5. Step 5: Solve for x
    x = 99,648,164.71/9,477.50
  6. Step 6: Final answer
    x = 10,514.19

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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.