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Finding the Fourth Proportional to 9,603.54, 13,251.93 and 7,087.02

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Solution

The fourth proportional to 9,603.54, 13,251.93 and 7,087.02 is: 9,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.54 : 13,251.93 = 7,087.02 : x
  2. Step 2: Convert to fraction form
    9,603.54/13,251.93 = 7,087.02/x
  3. Step 3: Cross multiply
    9,603.54x = 13,251.93 × 7,087.02
  4. Step 4: Simplify right side
    9,603.54x = 93,916,692.95
  5. Step 5: Solve for x
    x = 93,916,692.95/9,603.54
  6. Step 6: Final answer
    x = 9,779.38

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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.