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Finding the Fourth Proportional to 9,153.66, 12,634.14 and 5,177.10

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Solution

The fourth proportional to 9,153.66, 12,634.14 and 5,177.10 is: 7,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.66 : 12,634.14 = 5,177.10 : x
  2. Step 2: Convert to fraction form
    9,153.66/12,634.14 = 5,177.10/x
  3. Step 3: Cross multiply
    9,153.66x = 12,634.14 × 5,177.10
  4. Step 4: Simplify right side
    9,153.66x = 65,408,206.19
  5. Step 5: Solve for x
    x = 65,408,206.19/9,153.66
  6. Step 6: Final answer
    x = 7,145.58

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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.