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Finding the Fourth Proportional to 10,427.85, 14,385.06 and 7,069.50

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Solution

The fourth proportional to 10,427.85, 14,385.06 and 7,069.50 is: 9,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.85 : 14,385.06 = 7,069.50 : x
  2. Step 2: Convert to fraction form
    10,427.85/14,385.06 = 7,069.50/x
  3. Step 3: Cross multiply
    10,427.85x = 14,385.06 × 7,069.50
  4. Step 4: Simplify right side
    10,427.85x = 101,695,181.67
  5. Step 5: Solve for x
    x = 101,695,181.67/10,427.85
  6. Step 6: Final answer
    x = 9,752.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.