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Finding the Fourth Proportional to 9,565, 14,352.98 and 3,720.86

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Solution

The fourth proportional to 9,565, 14,352.98 and 3,720.86 is: 5,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565 : 14,352.98 = 3,720.86 : x
  2. Step 2: Convert to fraction form
    9,565/14,352.98 = 3,720.86/x
  3. Step 3: Cross multiply
    9,565x = 14,352.98 × 3,720.86
  4. Step 4: Simplify right side
    9,565x = 53,405,429.16
  5. Step 5: Solve for x
    x = 53,405,429.16/9,565
  6. Step 6: Final answer
    x = 5,583.42

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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.