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Finding the Fourth Proportional to 9,730.89, 14,573.66 and 7,532.55

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Solution

The fourth proportional to 9,730.89, 14,573.66 and 7,532.55 is: 11,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.89 : 14,573.66 = 7,532.55 : x
  2. Step 2: Convert to fraction form
    9,730.89/14,573.66 = 7,532.55/x
  3. Step 3: Cross multiply
    9,730.89x = 14,573.66 × 7,532.55
  4. Step 4: Simplify right side
    9,730.89x = 109,776,784.97
  5. Step 5: Solve for x
    x = 109,776,784.97/9,730.89
  6. Step 6: Final answer
    x = 11,281.27

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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.