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Finding the Fourth Proportional to 9,616.48, 14,430.48 and 3,460.96

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Solution

The fourth proportional to 9,616.48, 14,430.48 and 3,460.96 is: 5,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.48 : 14,430.48 = 3,460.96 : x
  2. Step 2: Convert to fraction form
    9,616.48/14,430.48 = 3,460.96/x
  3. Step 3: Cross multiply
    9,616.48x = 14,430.48 × 3,460.96
  4. Step 4: Simplify right side
    9,616.48x = 49,943,314.06
  5. Step 5: Solve for x
    x = 49,943,314.06/9,616.48
  6. Step 6: Final answer
    x = 5,193.51

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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.