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Finding the Fourth Proportional to 9,803.90, 14,705.85 and 5,656.70

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Solution

The fourth proportional to 9,803.90, 14,705.85 and 5,656.70 is: 8,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.90 : 14,705.85 = 5,656.70 : x
  2. Step 2: Convert to fraction form
    9,803.90/14,705.85 = 5,656.70/x
  3. Step 3: Cross multiply
    9,803.90x = 14,705.85 × 5,656.70
  4. Step 4: Simplify right side
    9,803.90x = 83,186,581.70
  5. Step 5: Solve for x
    x = 83,186,581.70/9,803.90
  6. Step 6: Final answer
    x = 8,485.05

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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.