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Finding the Fourth Proportional to 9,323.46, 13,966.02 and 4,931.64

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Solution

The fourth proportional to 9,323.46, 13,966.02 and 4,931.64 is: 7,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.46 : 13,966.02 = 4,931.64 : x
  2. Step 2: Convert to fraction form
    9,323.46/13,966.02 = 4,931.64/x
  3. Step 3: Cross multiply
    9,323.46x = 13,966.02 × 4,931.64
  4. Step 4: Simplify right side
    9,323.46x = 68,875,382.87
  5. Step 5: Solve for x
    x = 68,875,382.87/9,323.46
  6. Step 6: Final answer
    x = 7,387.32

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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.