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Finding the Fourth Proportional to 9,845.83, 14,775.41 and 7,386.67

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Solution

The fourth proportional to 9,845.83, 14,775.41 and 7,386.67 is: 11,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.83 : 14,775.41 = 7,386.67 : x
  2. Step 2: Convert to fraction form
    9,845.83/14,775.41 = 7,386.67/x
  3. Step 3: Cross multiply
    9,845.83x = 14,775.41 × 7,386.67
  4. Step 4: Simplify right side
    9,845.83x = 109,141,040.85
  5. Step 5: Solve for x
    x = 109,141,040.85/9,845.83
  6. Step 6: Final answer
    x = 11,085.00

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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.