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Finding the Fourth Proportional to 9,435.69, 13,024.80 and 5,460.21

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Solution

The fourth proportional to 9,435.69, 13,024.80 and 5,460.21 is: 7,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.69 : 13,024.80 = 5,460.21 : x
  2. Step 2: Convert to fraction form
    9,435.69/13,024.80 = 5,460.21/x
  3. Step 3: Cross multiply
    9,435.69x = 13,024.80 × 5,460.21
  4. Step 4: Simplify right side
    9,435.69x = 71,118,143.21
  5. Step 5: Solve for x
    x = 71,118,143.21/9,435.69
  6. Step 6: Final answer
    x = 7,537.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.