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Finding the Fourth Proportional to 9,651.68, 14,484 and 4,457.60

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Solution

The fourth proportional to 9,651.68, 14,484 and 4,457.60 is: 6,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.68 : 14,484 = 4,457.60 : x
  2. Step 2: Convert to fraction form
    9,651.68/14,484 = 4,457.60/x
  3. Step 3: Cross multiply
    9,651.68x = 14,484 × 4,457.60
  4. Step 4: Simplify right side
    9,651.68x = 64,563,878.40
  5. Step 5: Solve for x
    x = 64,563,878.40/9,651.68
  6. Step 6: Final answer
    x = 6,689.39

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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.