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Finding the Fourth Proportional to 9,309.19, 12,857.65 and 6,159.91

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Solution

The fourth proportional to 9,309.19, 12,857.65 and 6,159.91 is: 8,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.19 : 12,857.65 = 6,159.91 : x
  2. Step 2: Convert to fraction form
    9,309.19/12,857.65 = 6,159.91/x
  3. Step 3: Cross multiply
    9,309.19x = 12,857.65 × 6,159.91
  4. Step 4: Simplify right side
    9,309.19x = 79,201,966.81
  5. Step 5: Solve for x
    x = 79,201,966.81/9,309.19
  6. Step 6: Final answer
    x = 8,507.93

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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.