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Finding the Fourth Proportional to 9,664.10, 14,492.10 and 3,088.52

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Solution

The fourth proportional to 9,664.10, 14,492.10 and 3,088.52 is: 4,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.10 : 14,492.10 = 3,088.52 : x
  2. Step 2: Convert to fraction form
    9,664.10/14,492.10 = 3,088.52/x
  3. Step 3: Cross multiply
    9,664.10x = 14,492.10 × 3,088.52
  4. Step 4: Simplify right side
    9,664.10x = 44,759,140.69
  5. Step 5: Solve for x
    x = 44,759,140.69/9,664.10
  6. Step 6: Final answer
    x = 4,631.49

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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.