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Finding the Fourth Proportional to 9,852.98, 14,764.86 and 8,110.35

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Solution

The fourth proportional to 9,852.98, 14,764.86 and 8,110.35 is: 12,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.98 : 14,764.86 = 8,110.35 : x
  2. Step 2: Convert to fraction form
    9,852.98/14,764.86 = 8,110.35/x
  3. Step 3: Cross multiply
    9,852.98x = 14,764.86 × 8,110.35
  4. Step 4: Simplify right side
    9,852.98x = 119,748,182.30
  5. Step 5: Solve for x
    x = 119,748,182.30/9,852.98
  6. Step 6: Final answer
    x = 12,153.51

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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.