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Finding the Fourth Proportional to 9,477.48, 14,215.80 and 5,103.48

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Solution

The fourth proportional to 9,477.48, 14,215.80 and 5,103.48 is: 7,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.48 : 14,215.80 = 5,103.48 : x
  2. Step 2: Convert to fraction form
    9,477.48/14,215.80 = 5,103.48/x
  3. Step 3: Cross multiply
    9,477.48x = 14,215.80 × 5,103.48
  4. Step 4: Simplify right side
    9,477.48x = 72,550,050.98
  5. Step 5: Solve for x
    x = 72,550,050.98/9,477.48
  6. Step 6: Final answer
    x = 7,654.99

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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.