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Finding the Fourth Proportional to 9,909.79, 13,675.66 and 5,931.07

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Solution

The fourth proportional to 9,909.79, 13,675.66 and 5,931.07 is: 8,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.79 : 13,675.66 = 5,931.07 : x
  2. Step 2: Convert to fraction form
    9,909.79/13,675.66 = 5,931.07/x
  3. Step 3: Cross multiply
    9,909.79x = 13,675.66 × 5,931.07
  4. Step 4: Simplify right side
    9,909.79x = 81,111,296.76
  5. Step 5: Solve for x
    x = 81,111,296.76/9,909.79
  6. Step 6: Final answer
    x = 8,184.97

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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.