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Finding the Fourth Proportional to 9,648.48, 14,470.08 and 3,804.96

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Solution

The fourth proportional to 9,648.48, 14,470.08 and 3,804.96 is: 5,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.48 : 14,470.08 = 3,804.96 : x
  2. Step 2: Convert to fraction form
    9,648.48/14,470.08 = 3,804.96/x
  3. Step 3: Cross multiply
    9,648.48x = 14,470.08 × 3,804.96
  4. Step 4: Simplify right side
    9,648.48x = 55,058,075.60
  5. Step 5: Solve for x
    x = 55,058,075.60/9,648.48
  6. Step 6: Final answer
    x = 5,706.40

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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.