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Finding the Fourth Proportional to 9,102.51, 12,562.66 and 5,124.40

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Solution

The fourth proportional to 9,102.51, 12,562.66 and 5,124.40 is: 7,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.51 : 12,562.66 = 5,124.40 : x
  2. Step 2: Convert to fraction form
    9,102.51/12,562.66 = 5,124.40/x
  3. Step 3: Cross multiply
    9,102.51x = 12,562.66 × 5,124.40
  4. Step 4: Simplify right side
    9,102.51x = 64,376,069.90
  5. Step 5: Solve for x
    x = 64,376,069.90/9,102.51
  6. Step 6: Final answer
    x = 7,072.34

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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.