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Finding the Fourth Proportional to 9,507.64, 13,106.82 and 6,518.74

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Solution

The fourth proportional to 9,507.64, 13,106.82 and 6,518.74 is: 8,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.64 : 13,106.82 = 6,518.74 : x
  2. Step 2: Convert to fraction form
    9,507.64/13,106.82 = 6,518.74/x
  3. Step 3: Cross multiply
    9,507.64x = 13,106.82 × 6,518.74
  4. Step 4: Simplify right side
    9,507.64x = 85,439,951.81
  5. Step 5: Solve for x
    x = 85,439,951.81/9,507.64
  6. Step 6: Final answer
    x = 8,986.45

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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.