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Finding the Fourth Proportional to 9,527.37, 14,295.16 and 4,600.70

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Solution

The fourth proportional to 9,527.37, 14,295.16 and 4,600.70 is: 6,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.37 : 14,295.16 = 4,600.70 : x
  2. Step 2: Convert to fraction form
    9,527.37/14,295.16 = 4,600.70/x
  3. Step 3: Cross multiply
    9,527.37x = 14,295.16 × 4,600.70
  4. Step 4: Simplify right side
    9,527.37x = 65,767,648.13
  5. Step 5: Solve for x
    x = 65,767,648.13/9,527.37
  6. Step 6: Final answer
    x = 6,903.02

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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.