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Finding the Fourth Proportional to 9,652.70, 14,475.97 and 3,077.35

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Solution

The fourth proportional to 9,652.70, 14,475.97 and 3,077.35 is: 4,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.70 : 14,475.97 = 3,077.35 : x
  2. Step 2: Convert to fraction form
    9,652.70/14,475.97 = 3,077.35/x
  3. Step 3: Cross multiply
    9,652.70x = 14,475.97 × 3,077.35
  4. Step 4: Simplify right side
    9,652.70x = 44,547,582.40
  5. Step 5: Solve for x
    x = 44,547,582.40/9,652.70
  6. Step 6: Final answer
    x = 4,615.04

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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.