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Finding the Fourth Proportional to 9,603.25, 14,404.88 and 2,307.25

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Solution

The fourth proportional to 9,603.25, 14,404.88 and 2,307.25 is: 3,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.25 : 14,404.88 = 2,307.25 : x
  2. Step 2: Convert to fraction form
    9,603.25/14,404.88 = 2,307.25/x
  3. Step 3: Cross multiply
    9,603.25x = 14,404.88 × 2,307.25
  4. Step 4: Simplify right side
    9,603.25x = 33,235,659.38
  5. Step 5: Solve for x
    x = 33,235,659.38/9,603.25
  6. Step 6: Final answer
    x = 3,460.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.