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Finding the Fourth Proportional to 6,570.45, 9,846.63 and 2,875.77

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Solution

The fourth proportional to 6,570.45, 9,846.63 and 2,875.77 is: 4,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.45 : 9,846.63 = 2,875.77 : x
  2. Step 2: Convert to fraction form
    6,570.45/9,846.63 = 2,875.77/x
  3. Step 3: Cross multiply
    6,570.45x = 9,846.63 × 2,875.77
  4. Step 4: Simplify right side
    6,570.45x = 28,316,643.16
  5. Step 5: Solve for x
    x = 28,316,643.16/6,570.45
  6. Step 6: Final answer
    x = 4,309.70

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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.