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Finding the Fourth Proportional to 9,132.02, 12,603.50 and 5,153.50

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Solution

The fourth proportional to 9,132.02, 12,603.50 and 5,153.50 is: 7,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.02 : 12,603.50 = 5,153.50 : x
  2. Step 2: Convert to fraction form
    9,132.02/12,603.50 = 5,153.50/x
  3. Step 3: Cross multiply
    9,132.02x = 12,603.50 × 5,153.50
  4. Step 4: Simplify right side
    9,132.02x = 64,952,137.25
  5. Step 5: Solve for x
    x = 64,952,137.25/9,132.02
  6. Step 6: Final answer
    x = 7,112.57

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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.