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Finding the Fourth Proportional to 6,312.42, 8,707.26 and 4,070.70

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Solution

The fourth proportional to 6,312.42, 8,707.26 and 4,070.70 is: 5,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.42 : 8,707.26 = 4,070.70 : x
  2. Step 2: Convert to fraction form
    6,312.42/8,707.26 = 4,070.70/x
  3. Step 3: Cross multiply
    6,312.42x = 8,707.26 × 4,070.70
  4. Step 4: Simplify right side
    6,312.42x = 35,444,643.28
  5. Step 5: Solve for x
    x = 35,444,643.28/6,312.42
  6. Step 6: Final answer
    x = 5,615.06

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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.