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Finding the Fourth Proportional to 10,317.42, 15,461.01 and 6,409.98

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Solution

The fourth proportional to 10,317.42, 15,461.01 and 6,409.98 is: 9,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.42 : 15,461.01 = 6,409.98 : x
  2. Step 2: Convert to fraction form
    10,317.42/15,461.01 = 6,409.98/x
  3. Step 3: Cross multiply
    10,317.42x = 15,461.01 × 6,409.98
  4. Step 4: Simplify right side
    10,317.42x = 99,104,764.88
  5. Step 5: Solve for x
    x = 99,104,764.88/10,317.42
  6. Step 6: Final answer
    x = 9,605.58

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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.