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Finding the Fourth Proportional to 9,851.50, 14,777.25 and 9,603.64

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Solution

The fourth proportional to 9,851.50, 14,777.25 and 9,603.64 is: 14,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.50 : 14,777.25 = 9,603.64 : x
  2. Step 2: Convert to fraction form
    9,851.50/14,777.25 = 9,603.64/x
  3. Step 3: Cross multiply
    9,851.50x = 14,777.25 × 9,603.64
  4. Step 4: Simplify right side
    9,851.50x = 141,915,389.19
  5. Step 5: Solve for x
    x = 141,915,389.19/9,851.50
  6. Step 6: Final answer
    x = 14,405.46

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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.