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Finding the Fourth Proportional to 9,729.36, 13,430.60 and 6,934.16

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Solution

The fourth proportional to 9,729.36, 13,430.60 and 6,934.16 is: 9,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.36 : 13,430.60 = 6,934.16 : x
  2. Step 2: Convert to fraction form
    9,729.36/13,430.60 = 6,934.16/x
  3. Step 3: Cross multiply
    9,729.36x = 13,430.60 × 6,934.16
  4. Step 4: Simplify right side
    9,729.36x = 93,129,929.30
  5. Step 5: Solve for x
    x = 93,129,929.30/9,729.36
  6. Step 6: Final answer
    x = 9,572.05

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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.