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Finding the Fourth Proportional to 9,730.98, 14,598.27 and 3,156.33

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Solution

The fourth proportional to 9,730.98, 14,598.27 and 3,156.33 is: 4,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.98 : 14,598.27 = 3,156.33 : x
  2. Step 2: Convert to fraction form
    9,730.98/14,598.27 = 3,156.33/x
  3. Step 3: Cross multiply
    9,730.98x = 14,598.27 × 3,156.33
  4. Step 4: Simplify right side
    9,730.98x = 46,076,957.55
  5. Step 5: Solve for x
    x = 46,076,957.55/9,730.98
  6. Step 6: Final answer
    x = 4,735.08

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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.