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Finding the Fourth Proportional to 9,773.34, 14,663.25 and 6,499.32

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Solution

The fourth proportional to 9,773.34, 14,663.25 and 6,499.32 is: 9,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.34 : 14,663.25 = 6,499.32 : x
  2. Step 2: Convert to fraction form
    9,773.34/14,663.25 = 6,499.32/x
  3. Step 3: Cross multiply
    9,773.34x = 14,663.25 × 6,499.32
  4. Step 4: Simplify right side
    9,773.34x = 95,301,153.99
  5. Step 5: Solve for x
    x = 95,301,153.99/9,773.34
  6. Step 6: Final answer
    x = 9,751.13

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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.