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Finding the Fourth Proportional to 9,281.52, 13,923.08 and 2,356

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Solution

The fourth proportional to 9,281.52, 13,923.08 and 2,356 is: 3,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.52 : 13,923.08 = 2,356 : x
  2. Step 2: Convert to fraction form
    9,281.52/13,923.08 = 2,356/x
  3. Step 3: Cross multiply
    9,281.52x = 13,923.08 × 2,356
  4. Step 4: Simplify right side
    9,281.52x = 32,802,776.48
  5. Step 5: Solve for x
    x = 32,802,776.48/9,281.52
  6. Step 6: Final answer
    x = 3,534.20

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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.