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Finding the Fourth Proportional to 9,441.23, 13,038.37 and 7,779.11

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Solution

The fourth proportional to 9,441.23, 13,038.37 and 7,779.11 is: 10,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.23 : 13,038.37 = 7,779.11 : x
  2. Step 2: Convert to fraction form
    9,441.23/13,038.37 = 7,779.11/x
  3. Step 3: Cross multiply
    9,441.23x = 13,038.37 × 7,779.11
  4. Step 4: Simplify right side
    9,441.23x = 101,426,829.81
  5. Step 5: Solve for x
    x = 101,426,829.81/9,441.23
  6. Step 6: Final answer
    x = 10,742.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.