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Finding the Fourth Proportional to 9,448.52, 14,235.83 and 8,560.16

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Solution

The fourth proportional to 9,448.52, 14,235.83 and 8,560.16 is: 12,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.52 : 14,235.83 = 8,560.16 : x
  2. Step 2: Convert to fraction form
    9,448.52/14,235.83 = 8,560.16/x
  3. Step 3: Cross multiply
    9,448.52x = 14,235.83 × 8,560.16
  4. Step 4: Simplify right side
    9,448.52x = 121,860,982.53
  5. Step 5: Solve for x
    x = 121,860,982.53/9,448.52
  6. Step 6: Final answer
    x = 12,897.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.