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Finding the Fourth Proportional to 9,135.89, 12,607.28 and 5,102.61

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Solution

The fourth proportional to 9,135.89, 12,607.28 and 5,102.61 is: 7,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.89 : 12,607.28 = 5,102.61 : x
  2. Step 2: Convert to fraction form
    9,135.89/12,607.28 = 5,102.61/x
  3. Step 3: Cross multiply
    9,135.89x = 12,607.28 × 5,102.61
  4. Step 4: Simplify right side
    9,135.89x = 64,330,033.00
  5. Step 5: Solve for x
    x = 64,330,033.00/9,135.89
  6. Step 6: Final answer
    x = 7,041.46

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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.