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Finding the Fourth Proportional to 10,934.90, 16,317.05 and 9,756.81

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Solution

The fourth proportional to 10,934.90, 16,317.05 and 9,756.81 is: 14,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.90 : 16,317.05 = 9,756.81 : x
  2. Step 2: Convert to fraction form
    10,934.90/16,317.05 = 9,756.81/x
  3. Step 3: Cross multiply
    10,934.90x = 16,317.05 × 9,756.81
  4. Step 4: Simplify right side
    10,934.90x = 159,202,307.83
  5. Step 5: Solve for x
    x = 159,202,307.83/10,934.90
  6. Step 6: Final answer
    x = 14,559.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.