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Finding the Fourth Proportional to 9,779.41, 14,666.10 and 3,538.68

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Solution

The fourth proportional to 9,779.41, 14,666.10 and 3,538.68 is: 5,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.41 : 14,666.10 = 3,538.68 : x
  2. Step 2: Convert to fraction form
    9,779.41/14,666.10 = 3,538.68/x
  3. Step 3: Cross multiply
    9,779.41x = 14,666.10 × 3,538.68
  4. Step 4: Simplify right side
    9,779.41x = 51,898,634.75
  5. Step 5: Solve for x
    x = 51,898,634.75/9,779.41
  6. Step 6: Final answer
    x = 5,306.93

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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.