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Finding the Fourth Proportional to 9,907.54, 14,832.50 and 7,709.60

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Solution

The fourth proportional to 9,907.54, 14,832.50 and 7,709.60 is: 11,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.54 : 14,832.50 = 7,709.60 : x
  2. Step 2: Convert to fraction form
    9,907.54/14,832.50 = 7,709.60/x
  3. Step 3: Cross multiply
    9,907.54x = 14,832.50 × 7,709.60
  4. Step 4: Simplify right side
    9,907.54x = 114,352,642
  5. Step 5: Solve for x
    x = 114,352,642/9,907.54
  6. Step 6: Final answer
    x = 11,541.98

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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.