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Finding the Fourth Proportional to 10,075.33, 13,903.01 and 9,332.29

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Solution

The fourth proportional to 10,075.33, 13,903.01 and 9,332.29 is: 12,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.33 : 13,903.01 = 9,332.29 : x
  2. Step 2: Convert to fraction form
    10,075.33/13,903.01 = 9,332.29/x
  3. Step 3: Cross multiply
    10,075.33x = 13,903.01 × 9,332.29
  4. Step 4: Simplify right side
    10,075.33x = 129,746,874.53
  5. Step 5: Solve for x
    x = 129,746,874.53/10,075.33
  6. Step 6: Final answer
    x = 12,877.68

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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.