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Finding the Fourth Proportional to 9,775.16, 14,661.02 and 2,848.04

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Solution

The fourth proportional to 9,775.16, 14,661.02 and 2,848.04 is: 4,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.16 : 14,661.02 = 2,848.04 : x
  2. Step 2: Convert to fraction form
    9,775.16/14,661.02 = 2,848.04/x
  3. Step 3: Cross multiply
    9,775.16x = 14,661.02 × 2,848.04
  4. Step 4: Simplify right side
    9,775.16x = 41,755,171.40
  5. Step 5: Solve for x
    x = 41,755,171.40/9,775.16
  6. Step 6: Final answer
    x = 4,271.56

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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.