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Finding the Fourth Proportional to 9,686.70, 13,365.99 and 6,095.35

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Solution

The fourth proportional to 9,686.70, 13,365.99 and 6,095.35 is: 8,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.70 : 13,365.99 = 6,095.35 : x
  2. Step 2: Convert to fraction form
    9,686.70/13,365.99 = 6,095.35/x
  3. Step 3: Cross multiply
    9,686.70x = 13,365.99 × 6,095.35
  4. Step 4: Simplify right side
    9,686.70x = 81,470,386.71
  5. Step 5: Solve for x
    x = 81,470,386.71/9,686.70
  6. Step 6: Final answer
    x = 8,410.54

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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.