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Finding the Fourth Proportional to 9,929.36, 14,901.24 and 8,004.80

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Solution

The fourth proportional to 9,929.36, 14,901.24 and 8,004.80 is: 12,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.36 : 14,901.24 = 8,004.80 : x
  2. Step 2: Convert to fraction form
    9,929.36/14,901.24 = 8,004.80/x
  3. Step 3: Cross multiply
    9,929.36x = 14,901.24 × 8,004.80
  4. Step 4: Simplify right side
    9,929.36x = 119,281,445.95
  5. Step 5: Solve for x
    x = 119,281,445.95/9,929.36
  6. Step 6: Final answer
    x = 12,013.00

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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.