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Finding the Fourth Proportional to 9,784.64, 13,498.88 and 5,592

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Solution

The fourth proportional to 9,784.64, 13,498.88 and 5,592 is: 7,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.64 : 13,498.88 = 5,592 : x
  2. Step 2: Convert to fraction form
    9,784.64/13,498.88 = 5,592/x
  3. Step 3: Cross multiply
    9,784.64x = 13,498.88 × 5,592
  4. Step 4: Simplify right side
    9,784.64x = 75,485,736.96
  5. Step 5: Solve for x
    x = 75,485,736.96/9,784.64
  6. Step 6: Final answer
    x = 7,714.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.