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Finding the Fourth Proportional to 9,842.68, 14,763.95 and 3,603.13

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Solution

The fourth proportional to 9,842.68, 14,763.95 and 3,603.13 is: 5,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.68 : 14,763.95 = 3,603.13 : x
  2. Step 2: Convert to fraction form
    9,842.68/14,763.95 = 3,603.13/x
  3. Step 3: Cross multiply
    9,842.68x = 14,763.95 × 3,603.13
  4. Step 4: Simplify right side
    9,842.68x = 53,196,403.26
  5. Step 5: Solve for x
    x = 53,196,403.26/9,842.68
  6. Step 6: Final answer
    x = 5,404.67

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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.