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Finding the Fourth Proportional to 9,889.60, 14,830.80 and 4,957.60

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Solution

The fourth proportional to 9,889.60, 14,830.80 and 4,957.60 is: 7,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.60 : 14,830.80 = 4,957.60 : x
  2. Step 2: Convert to fraction form
    9,889.60/14,830.80 = 4,957.60/x
  3. Step 3: Cross multiply
    9,889.60x = 14,830.80 × 4,957.60
  4. Step 4: Simplify right side
    9,889.60x = 73,525,174.08
  5. Step 5: Solve for x
    x = 73,525,174.08/9,889.60
  6. Step 6: Final answer
    x = 7,434.60

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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.