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Finding the Fourth Proportional to 9,452.40, 14,188.32 and 6,866.88

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Solution

The fourth proportional to 9,452.40, 14,188.32 and 6,866.88 is: 10,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.40 : 14,188.32 = 6,866.88 : x
  2. Step 2: Convert to fraction form
    9,452.40/14,188.32 = 6,866.88/x
  3. Step 3: Cross multiply
    9,452.40x = 14,188.32 × 6,866.88
  4. Step 4: Simplify right side
    9,452.40x = 97,429,490.84
  5. Step 5: Solve for x
    x = 97,429,490.84/9,452.40
  6. Step 6: Final answer
    x = 10,307.38

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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.