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Finding the Fourth Proportional to 9,615.72, 14,417.76 and 4,680.42

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Solution

The fourth proportional to 9,615.72, 14,417.76 and 4,680.42 is: 7,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.72 : 14,417.76 = 4,680.42 : x
  2. Step 2: Convert to fraction form
    9,615.72/14,417.76 = 4,680.42/x
  3. Step 3: Cross multiply
    9,615.72x = 14,417.76 × 4,680.42
  4. Step 4: Simplify right side
    9,615.72x = 67,481,172.26
  5. Step 5: Solve for x
    x = 67,481,172.26/9,615.72
  6. Step 6: Final answer
    x = 7,017.80

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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.