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Finding the Fourth Proportional to 9,516, 13,132.08 and 5,325.06

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Solution

The fourth proportional to 9,516, 13,132.08 and 5,325.06 is: 7,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516 : 13,132.08 = 5,325.06 : x
  2. Step 2: Convert to fraction form
    9,516/13,132.08 = 5,325.06/x
  3. Step 3: Cross multiply
    9,516x = 13,132.08 × 5,325.06
  4. Step 4: Simplify right side
    9,516x = 69,929,113.92
  5. Step 5: Solve for x
    x = 69,929,113.92/9,516
  6. Step 6: Final answer
    x = 7,348.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.