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Finding the Fourth Proportional to 9,634.98, 14,445.46 and 6,507.23

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Solution

The fourth proportional to 9,634.98, 14,445.46 and 6,507.23 is: 9,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.98 : 14,445.46 = 6,507.23 : x
  2. Step 2: Convert to fraction form
    9,634.98/14,445.46 = 6,507.23/x
  3. Step 3: Cross multiply
    9,634.98x = 14,445.46 × 6,507.23
  4. Step 4: Simplify right side
    9,634.98x = 93,999,898.14
  5. Step 5: Solve for x
    x = 93,999,898.14/9,634.98
  6. Step 6: Final answer
    x = 9,756.11

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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.