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Finding the Fourth Proportional to 9,237.14, 13,866.36 and 5,303.30

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Solution

The fourth proportional to 9,237.14, 13,866.36 and 5,303.30 is: 7,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.14 : 13,866.36 = 5,303.30 : x
  2. Step 2: Convert to fraction form
    9,237.14/13,866.36 = 5,303.30/x
  3. Step 3: Cross multiply
    9,237.14x = 13,866.36 × 5,303.30
  4. Step 4: Simplify right side
    9,237.14x = 73,537,466.99
  5. Step 5: Solve for x
    x = 73,537,466.99/9,237.14
  6. Step 6: Final answer
    x = 7,961.06

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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.