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Finding the Fourth Proportional to 9,699.51, 13,386.78 and 5,924.85

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Solution

The fourth proportional to 9,699.51, 13,386.78 and 5,924.85 is: 8,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.51 : 13,386.78 = 5,924.85 : x
  2. Step 2: Convert to fraction form
    9,699.51/13,386.78 = 5,924.85/x
  3. Step 3: Cross multiply
    9,699.51x = 13,386.78 × 5,924.85
  4. Step 4: Simplify right side
    9,699.51x = 79,314,663.48
  5. Step 5: Solve for x
    x = 79,314,663.48/9,699.51
  6. Step 6: Final answer
    x = 8,177.18

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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.