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Finding the Fourth Proportional to 9,260.19, 12,778.97 and 5,011.16

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Solution

The fourth proportional to 9,260.19, 12,778.97 and 5,011.16 is: 6,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.19 : 12,778.97 = 5,011.16 : x
  2. Step 2: Convert to fraction form
    9,260.19/12,778.97 = 5,011.16/x
  3. Step 3: Cross multiply
    9,260.19x = 12,778.97 × 5,011.16
  4. Step 4: Simplify right side
    9,260.19x = 64,037,374.35
  5. Step 5: Solve for x
    x = 64,037,374.35/9,260.19
  6. Step 6: Final answer
    x = 6,915.35

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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.