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Finding the Fourth Proportional to 9,603.30, 14,405.67 and 2,583.30

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Solution

The fourth proportional to 9,603.30, 14,405.67 and 2,583.30 is: 3,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.30 : 14,405.67 = 2,583.30 : x
  2. Step 2: Convert to fraction form
    9,603.30/14,405.67 = 2,583.30/x
  3. Step 3: Cross multiply
    9,603.30x = 14,405.67 × 2,583.30
  4. Step 4: Simplify right side
    9,603.30x = 37,214,167.31
  5. Step 5: Solve for x
    x = 37,214,167.31/9,603.30
  6. Step 6: Final answer
    x = 3,875.14

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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.