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Finding the Fourth Proportional to 9,200.64, 13,802.58 and 4,275.84

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Solution

The fourth proportional to 9,200.64, 13,802.58 and 4,275.84 is: 6,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.64 : 13,802.58 = 4,275.84 : x
  2. Step 2: Convert to fraction form
    9,200.64/13,802.58 = 4,275.84/x
  3. Step 3: Cross multiply
    9,200.64x = 13,802.58 × 4,275.84
  4. Step 4: Simplify right side
    9,200.64x = 59,017,623.67
  5. Step 5: Solve for x
    x = 59,017,623.67/9,200.64
  6. Step 6: Final answer
    x = 6,414.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.