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Finding the Fourth Proportional to 9,647.12, 14,470.68 and 3,802.16

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Solution

The fourth proportional to 9,647.12, 14,470.68 and 3,802.16 is: 5,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.12 : 14,470.68 = 3,802.16 : x
  2. Step 2: Convert to fraction form
    9,647.12/14,470.68 = 3,802.16/x
  3. Step 3: Cross multiply
    9,647.12x = 14,470.68 × 3,802.16
  4. Step 4: Simplify right side
    9,647.12x = 55,019,840.67
  5. Step 5: Solve for x
    x = 55,019,840.67/9,647.12
  6. Step 6: Final answer
    x = 5,703.24

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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.