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Finding the Fourth Proportional to 9,870.30, 14,813.55 and 9,546.30

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Solution

The fourth proportional to 9,870.30, 14,813.55 and 9,546.30 is: 14,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.30 : 14,813.55 = 9,546.30 : x
  2. Step 2: Convert to fraction form
    9,870.30/14,813.55 = 9,546.30/x
  3. Step 3: Cross multiply
    9,870.30x = 14,813.55 × 9,546.30
  4. Step 4: Simplify right side
    9,870.30x = 141,414,592.37
  5. Step 5: Solve for x
    x = 141,414,592.37/9,870.30
  6. Step 6: Final answer
    x = 14,327.28

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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.