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Finding the Fourth Proportional to 9,699.42, 13,389.27 and 8,533.02

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Solution

The fourth proportional to 9,699.42, 13,389.27 and 8,533.02 is: 11,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.42 : 13,389.27 = 8,533.02 : x
  2. Step 2: Convert to fraction form
    9,699.42/13,389.27 = 8,533.02/x
  3. Step 3: Cross multiply
    9,699.42x = 13,389.27 × 8,533.02
  4. Step 4: Simplify right side
    9,699.42x = 114,250,908.70
  5. Step 5: Solve for x
    x = 114,250,908.70/9,699.42
  6. Step 6: Final answer
    x = 11,779.15

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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.