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Finding the Fourth Proportional to 9,631.68, 14,441.04 and 4,700.40

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Solution

The fourth proportional to 9,631.68, 14,441.04 and 4,700.40 is: 7,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631.68 : 14,441.04 = 4,700.40 : x
  2. Step 2: Convert to fraction form
    9,631.68/14,441.04 = 4,700.40/x
  3. Step 3: Cross multiply
    9,631.68x = 14,441.04 × 4,700.40
  4. Step 4: Simplify right side
    9,631.68x = 67,878,664.42
  5. Step 5: Solve for x
    x = 67,878,664.42/9,631.68
  6. Step 6: Final answer
    x = 7,047.44

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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.