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Finding the Fourth Proportional to 9,663.60, 14,491.35 and 3,088.02

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Solution

The fourth proportional to 9,663.60, 14,491.35 and 3,088.02 is: 4,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.60 : 14,491.35 = 3,088.02 : x
  2. Step 2: Convert to fraction form
    9,663.60/14,491.35 = 3,088.02/x
  3. Step 3: Cross multiply
    9,663.60x = 14,491.35 × 3,088.02
  4. Step 4: Simplify right side
    9,663.60x = 44,749,578.63
  5. Step 5: Solve for x
    x = 44,749,578.63/9,663.60
  6. Step 6: Final answer
    x = 4,630.74

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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.