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Finding the Fourth Proportional to 10,317.70, 14,245.62 and 9,113.50

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Solution

The fourth proportional to 10,317.70, 14,245.62 and 9,113.50 is: 12,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.70 : 14,245.62 = 9,113.50 : x
  2. Step 2: Convert to fraction form
    10,317.70/14,245.62 = 9,113.50/x
  3. Step 3: Cross multiply
    10,317.70x = 14,245.62 × 9,113.50
  4. Step 4: Simplify right side
    10,317.70x = 129,827,457.87
  5. Step 5: Solve for x
    x = 129,827,457.87/10,317.70
  6. Step 6: Final answer
    x = 12,582.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.