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Finding the Fourth Proportional to 9,630.40, 14,446.36 and 3,710.16

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Solution

The fourth proportional to 9,630.40, 14,446.36 and 3,710.16 is: 5,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.40 : 14,446.36 = 3,710.16 : x
  2. Step 2: Convert to fraction form
    9,630.40/14,446.36 = 3,710.16/x
  3. Step 3: Cross multiply
    9,630.40x = 14,446.36 × 3,710.16
  4. Step 4: Simplify right side
    9,630.40x = 53,598,307.02
  5. Step 5: Solve for x
    x = 53,598,307.02/9,630.40
  6. Step 6: Final answer
    x = 5,565.53

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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.