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Finding the Fourth Proportional to 9,129.06, 13,693.86 and 7,152.84

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Solution

The fourth proportional to 9,129.06, 13,693.86 and 7,152.84 is: 10,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.06 : 13,693.86 = 7,152.84 : x
  2. Step 2: Convert to fraction form
    9,129.06/13,693.86 = 7,152.84/x
  3. Step 3: Cross multiply
    9,129.06x = 13,693.86 × 7,152.84
  4. Step 4: Simplify right side
    9,129.06x = 97,949,989.56
  5. Step 5: Solve for x
    x = 97,949,989.56/9,129.06
  6. Step 6: Final answer
    x = 10,729.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.