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Finding the Fourth Proportional to 9,870.30, 14,805.45 and 5,708.70

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Solution

The fourth proportional to 9,870.30, 14,805.45 and 5,708.70 is: 8,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.30 : 14,805.45 = 5,708.70 : x
  2. Step 2: Convert to fraction form
    9,870.30/14,805.45 = 5,708.70/x
  3. Step 3: Cross multiply
    9,870.30x = 14,805.45 × 5,708.70
  4. Step 4: Simplify right side
    9,870.30x = 84,519,872.42
  5. Step 5: Solve for x
    x = 84,519,872.42/9,870.30
  6. Step 6: Final answer
    x = 8,563.05

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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.