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Finding the Fourth Proportional to 10,492.01, 14,480.73 and 6,714.99

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Solution

The fourth proportional to 10,492.01, 14,480.73 and 6,714.99 is: 9,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.01 : 14,480.73 = 6,714.99 : x
  2. Step 2: Convert to fraction form
    10,492.01/14,480.73 = 6,714.99/x
  3. Step 3: Cross multiply
    10,492.01x = 14,480.73 × 6,714.99
  4. Step 4: Simplify right side
    10,492.01x = 97,237,957.14
  5. Step 5: Solve for x
    x = 97,237,957.14/10,492.01
  6. Step 6: Final answer
    x = 9,267.81

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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.