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Finding the Fourth Proportional to 9,532.64, 14,298.96 and 5,420

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Solution

The fourth proportional to 9,532.64, 14,298.96 and 5,420 is: 8,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.64 : 14,298.96 = 5,420 : x
  2. Step 2: Convert to fraction form
    9,532.64/14,298.96 = 5,420/x
  3. Step 3: Cross multiply
    9,532.64x = 14,298.96 × 5,420
  4. Step 4: Simplify right side
    9,532.64x = 77,500,363.20
  5. Step 5: Solve for x
    x = 77,500,363.20/9,532.64
  6. Step 6: Final answer
    x = 8,130.00

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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.