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Finding the Fourth Proportional to 6,038.04, 9,070.96 and 4,263.20

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Solution

The fourth proportional to 6,038.04, 9,070.96 and 4,263.20 is: 6,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.04 : 9,070.96 = 4,263.20 : x
  2. Step 2: Convert to fraction form
    6,038.04/9,070.96 = 4,263.20/x
  3. Step 3: Cross multiply
    6,038.04x = 9,070.96 × 4,263.20
  4. Step 4: Simplify right side
    6,038.04x = 38,671,316.67
  5. Step 5: Solve for x
    x = 38,671,316.67/6,038.04
  6. Step 6: Final answer
    x = 6,404.61

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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.