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Finding the Fourth Proportional to 9,421.85, 13,002.32 and 5,173.31

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Solution

The fourth proportional to 9,421.85, 13,002.32 and 5,173.31 is: 7,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.85 : 13,002.32 = 5,173.31 : x
  2. Step 2: Convert to fraction form
    9,421.85/13,002.32 = 5,173.31/x
  3. Step 3: Cross multiply
    9,421.85x = 13,002.32 × 5,173.31
  4. Step 4: Simplify right side
    9,421.85x = 67,264,941.20
  5. Step 5: Solve for x
    x = 67,264,941.20/9,421.85
  6. Step 6: Final answer
    x = 7,139.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.