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Finding the Fourth Proportional to 10,438.48, 15,673.33 and 9,037.23

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Solution

The fourth proportional to 10,438.48, 15,673.33 and 9,037.23 is: 13,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.48 : 15,673.33 = 9,037.23 : x
  2. Step 2: Convert to fraction form
    10,438.48/15,673.33 = 9,037.23/x
  3. Step 3: Cross multiply
    10,438.48x = 15,673.33 × 9,037.23
  4. Step 4: Simplify right side
    10,438.48x = 141,643,482.78
  5. Step 5: Solve for x
    x = 141,643,482.78/10,438.48
  6. Step 6: Final answer
    x = 13,569.36

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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.