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Finding the Fourth Proportional to 9,126.01, 12,594.08 and 5,146.35

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Solution

The fourth proportional to 9,126.01, 12,594.08 and 5,146.35 is: 7,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.01 : 12,594.08 = 5,146.35 : x
  2. Step 2: Convert to fraction form
    9,126.01/12,594.08 = 5,146.35/x
  3. Step 3: Cross multiply
    9,126.01x = 12,594.08 × 5,146.35
  4. Step 4: Simplify right side
    9,126.01x = 64,813,454.91
  5. Step 5: Solve for x
    x = 64,813,454.91/9,126.01
  6. Step 6: Final answer
    x = 7,102.06

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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.