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Finding the Fourth Proportional to 9,498.78, 14,251.05 and 4,567.02

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Solution

The fourth proportional to 9,498.78, 14,251.05 and 4,567.02 is: 6,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.78 : 14,251.05 = 4,567.02 : x
  2. Step 2: Convert to fraction form
    9,498.78/14,251.05 = 4,567.02/x
  3. Step 3: Cross multiply
    9,498.78x = 14,251.05 × 4,567.02
  4. Step 4: Simplify right side
    9,498.78x = 65,084,830.37
  5. Step 5: Solve for x
    x = 65,084,830.37/9,498.78
  6. Step 6: Final answer
    x = 6,851.91

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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.