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Finding the Fourth Proportional to 9,442.85, 14,164.59 and 2,869.02

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Solution

The fourth proportional to 9,442.85, 14,164.59 and 2,869.02 is: 4,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.85 : 14,164.59 = 2,869.02 : x
  2. Step 2: Convert to fraction form
    9,442.85/14,164.59 = 2,869.02/x
  3. Step 3: Cross multiply
    9,442.85x = 14,164.59 × 2,869.02
  4. Step 4: Simplify right side
    9,442.85x = 40,638,492.00
  5. Step 5: Solve for x
    x = 40,638,492.00/9,442.85
  6. Step 6: Final answer
    x = 4,303.63

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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.