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Finding the Fourth Proportional to 9,657.06, 14,494.65 and 4,980.30

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Solution

The fourth proportional to 9,657.06, 14,494.65 and 4,980.30 is: 7,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.06 : 14,494.65 = 4,980.30 : x
  2. Step 2: Convert to fraction form
    9,657.06/14,494.65 = 4,980.30/x
  3. Step 3: Cross multiply
    9,657.06x = 14,494.65 × 4,980.30
  4. Step 4: Simplify right side
    9,657.06x = 72,187,705.40
  5. Step 5: Solve for x
    x = 72,187,705.40/9,657.06
  6. Step 6: Final answer
    x = 7,475.12

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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.