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Finding the Fourth Proportional to 9,779.19, 13,497.70 and 6,003.28

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Solution

The fourth proportional to 9,779.19, 13,497.70 and 6,003.28 is: 8,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.19 : 13,497.70 = 6,003.28 : x
  2. Step 2: Convert to fraction form
    9,779.19/13,497.70 = 6,003.28/x
  3. Step 3: Cross multiply
    9,779.19x = 13,497.70 × 6,003.28
  4. Step 4: Simplify right side
    9,779.19x = 81,030,437.07
  5. Step 5: Solve for x
    x = 81,030,437.07/9,779.19
  6. Step 6: Final answer
    x = 8,286.00

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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.