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Finding the Fourth Proportional to 6,430.16, 8,870.62 and 4,162.23

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Solution

The fourth proportional to 6,430.16, 8,870.62 and 4,162.23 is: 5,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.16 : 8,870.62 = 4,162.23 : x
  2. Step 2: Convert to fraction form
    6,430.16/8,870.62 = 4,162.23/x
  3. Step 3: Cross multiply
    6,430.16x = 8,870.62 × 4,162.23
  4. Step 4: Simplify right side
    6,430.16x = 36,921,598.20
  5. Step 5: Solve for x
    x = 36,921,598.20/6,430.16
  6. Step 6: Final answer
    x = 5,741.94

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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.