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Finding the Fourth Proportional to 9,929.12, 13,702 and 5,452.75

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Solution

The fourth proportional to 9,929.12, 13,702 and 5,452.75 is: 7,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.12 : 13,702 = 5,452.75 : x
  2. Step 2: Convert to fraction form
    9,929.12/13,702 = 5,452.75/x
  3. Step 3: Cross multiply
    9,929.12x = 13,702 × 5,452.75
  4. Step 4: Simplify right side
    9,929.12x = 74,713,580.50
  5. Step 5: Solve for x
    x = 74,713,580.50/9,929.12
  6. Step 6: Final answer
    x = 7,524.69

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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.