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Finding the Fourth Proportional to 9,535.92, 14,303.84 and 4,342.16

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Solution

The fourth proportional to 9,535.92, 14,303.84 and 4,342.16 is: 6,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.92 : 14,303.84 = 4,342.16 : x
  2. Step 2: Convert to fraction form
    9,535.92/14,303.84 = 4,342.16/x
  3. Step 3: Cross multiply
    9,535.92x = 14,303.84 × 4,342.16
  4. Step 4: Simplify right side
    9,535.92x = 62,109,561.89
  5. Step 5: Solve for x
    x = 62,109,561.89/9,535.92
  6. Step 6: Final answer
    x = 6,513.22

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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.