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Finding the Fourth Proportional to 9,395.53, 12,966.01 and 5,146.59

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Solution

The fourth proportional to 9,395.53, 12,966.01 and 5,146.59 is: 7,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.53 : 12,966.01 = 5,146.59 : x
  2. Step 2: Convert to fraction form
    9,395.53/12,966.01 = 5,146.59/x
  3. Step 3: Cross multiply
    9,395.53x = 12,966.01 × 5,146.59
  4. Step 4: Simplify right side
    9,395.53x = 66,730,695.22
  5. Step 5: Solve for x
    x = 66,730,695.22/9,395.53
  6. Step 6: Final answer
    x = 7,102.39

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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.