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Finding the Fourth Proportional to 9,577.44, 14,348.88 and 8,015.76

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Solution

The fourth proportional to 9,577.44, 14,348.88 and 8,015.76 is: 12,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.44 : 14,348.88 = 8,015.76 : x
  2. Step 2: Convert to fraction form
    9,577.44/14,348.88 = 8,015.76/x
  3. Step 3: Cross multiply
    9,577.44x = 14,348.88 × 8,015.76
  4. Step 4: Simplify right side
    9,577.44x = 115,017,178.35
  5. Step 5: Solve for x
    x = 115,017,178.35/9,577.44
  6. Step 6: Final answer
    x = 12,009.18

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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.