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Finding the Fourth Proportional to 9,703.80, 14,555.70 and 9,630.90

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Solution

The fourth proportional to 9,703.80, 14,555.70 and 9,630.90 is: 14,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.80 : 14,555.70 = 9,630.90 : x
  2. Step 2: Convert to fraction form
    9,703.80/14,555.70 = 9,630.90/x
  3. Step 3: Cross multiply
    9,703.80x = 14,555.70 × 9,630.90
  4. Step 4: Simplify right side
    9,703.80x = 140,184,491.13
  5. Step 5: Solve for x
    x = 140,184,491.13/9,703.80
  6. Step 6: Final answer
    x = 14,446.35

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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.