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Finding the Fourth Proportional to 10,222.80, 15,312.60 and 9,128.40

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Solution

The fourth proportional to 10,222.80, 15,312.60 and 9,128.40 is: 13,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.80 : 15,312.60 = 9,128.40 : x
  2. Step 2: Convert to fraction form
    10,222.80/15,312.60 = 9,128.40/x
  3. Step 3: Cross multiply
    10,222.80x = 15,312.60 × 9,128.40
  4. Step 4: Simplify right side
    10,222.80x = 139,779,537.84
  5. Step 5: Solve for x
    x = 139,779,537.84/10,222.80
  6. Step 6: Final answer
    x = 13,673.31

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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.