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Finding the Fourth Proportional to 9,102.16, 13,653.16 and 2,946.16

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Solution

The fourth proportional to 9,102.16, 13,653.16 and 2,946.16 is: 4,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.16 : 13,653.16 = 2,946.16 : x
  2. Step 2: Convert to fraction form
    9,102.16/13,653.16 = 2,946.16/x
  3. Step 3: Cross multiply
    9,102.16x = 13,653.16 × 2,946.16
  4. Step 4: Simplify right side
    9,102.16x = 40,224,393.87
  5. Step 5: Solve for x
    x = 40,224,393.87/9,102.16
  6. Step 6: Final answer
    x = 4,419.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.