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Finding the Fourth Proportional to 9,527.55, 14,300.54 and 4,600.65

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Solution

The fourth proportional to 9,527.55, 14,300.54 and 4,600.65 is: 6,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.55 : 14,300.54 = 4,600.65 : x
  2. Step 2: Convert to fraction form
    9,527.55/14,300.54 = 4,600.65/x
  3. Step 3: Cross multiply
    9,527.55x = 14,300.54 × 4,600.65
  4. Step 4: Simplify right side
    9,527.55x = 65,791,756.35
  5. Step 5: Solve for x
    x = 65,791,756.35/9,527.55
  6. Step 6: Final answer
    x = 6,905.42

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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.