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Finding the Fourth Proportional to 9,235.24, 13,852.86 and 4,617.16

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Solution

The fourth proportional to 9,235.24, 13,852.86 and 4,617.16 is: 6,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.24 : 13,852.86 = 4,617.16 : x
  2. Step 2: Convert to fraction form
    9,235.24/13,852.86 = 4,617.16/x
  3. Step 3: Cross multiply
    9,235.24x = 13,852.86 × 4,617.16
  4. Step 4: Simplify right side
    9,235.24x = 63,960,871.08
  5. Step 5: Solve for x
    x = 63,960,871.08/9,235.24
  6. Step 6: Final answer
    x = 6,925.74

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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.