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Finding the Fourth Proportional to 9,535.16, 14,276.32 and 7,188.08

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Solution

The fourth proportional to 9,535.16, 14,276.32 and 7,188.08 is: 10,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.16 : 14,276.32 = 7,188.08 : x
  2. Step 2: Convert to fraction form
    9,535.16/14,276.32 = 7,188.08/x
  3. Step 3: Cross multiply
    9,535.16x = 14,276.32 × 7,188.08
  4. Step 4: Simplify right side
    9,535.16x = 102,619,330.27
  5. Step 5: Solve for x
    x = 102,619,330.27/9,535.16
  6. Step 6: Final answer
    x = 10,762.20

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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.