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Finding the Fourth Proportional to 9,652.16, 14,475.63 and 3,411.35

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Solution

The fourth proportional to 9,652.16, 14,475.63 and 3,411.35 is: 5,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.16 : 14,475.63 = 3,411.35 : x
  2. Step 2: Convert to fraction form
    9,652.16/14,475.63 = 3,411.35/x
  3. Step 3: Cross multiply
    9,652.16x = 14,475.63 × 3,411.35
  4. Step 4: Simplify right side
    9,652.16x = 49,381,440.40
  5. Step 5: Solve for x
    x = 49,381,440.40/9,652.16
  6. Step 6: Final answer
    x = 5,116.10

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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.