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Finding the Fourth Proportional to 9,070.02, 13,603.20 and 2,829

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Solution

The fourth proportional to 9,070.02, 13,603.20 and 2,829 is: 4,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070.02 : 13,603.20 = 2,829 : x
  2. Step 2: Convert to fraction form
    9,070.02/13,603.20 = 2,829/x
  3. Step 3: Cross multiply
    9,070.02x = 13,603.20 × 2,829
  4. Step 4: Simplify right side
    9,070.02x = 38,483,452.80
  5. Step 5: Solve for x
    x = 38,483,452.80/9,070.02
  6. Step 6: Final answer
    x = 4,242.93

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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.