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Finding the Fourth Proportional to 9,950.40, 14,927.40 and 5,007.60

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Solution

The fourth proportional to 9,950.40, 14,927.40 and 5,007.60 is: 7,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.40 : 14,927.40 = 5,007.60 : x
  2. Step 2: Convert to fraction form
    9,950.40/14,927.40 = 5,007.60/x
  3. Step 3: Cross multiply
    9,950.40x = 14,927.40 × 5,007.60
  4. Step 4: Simplify right side
    9,950.40x = 74,750,448.24
  5. Step 5: Solve for x
    x = 74,750,448.24/9,950.40
  6. Step 6: Final answer
    x = 7,512.31

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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.