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Finding the Fourth Proportional to 9,566.40, 14,354.36 and 6,405.96

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Solution

The fourth proportional to 9,566.40, 14,354.36 and 6,405.96 is: 9,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.40 : 14,354.36 = 6,405.96 : x
  2. Step 2: Convert to fraction form
    9,566.40/14,354.36 = 6,405.96/x
  3. Step 3: Cross multiply
    9,566.40x = 14,354.36 × 6,405.96
  4. Step 4: Simplify right side
    9,566.40x = 91,953,455.99
  5. Step 5: Solve for x
    x = 91,953,455.99/9,566.40
  6. Step 6: Final answer
    x = 9,612.13

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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.