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Finding the Fourth Proportional to 9,670.84, 14,518.52 and 8,047.24

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Solution

The fourth proportional to 9,670.84, 14,518.52 and 8,047.24 is: 12,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.84 : 14,518.52 = 8,047.24 : x
  2. Step 2: Convert to fraction form
    9,670.84/14,518.52 = 8,047.24/x
  3. Step 3: Cross multiply
    9,670.84x = 14,518.52 × 8,047.24
  4. Step 4: Simplify right side
    9,670.84x = 116,834,014.88
  5. Step 5: Solve for x
    x = 116,834,014.88/9,670.84
  6. Step 6: Final answer
    x = 12,081.06

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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.