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Finding the Fourth Proportional to 9,642.21, 14,471.51 and 6,875.66

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Solution

The fourth proportional to 9,642.21, 14,471.51 and 6,875.66 is: 10,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.21 : 14,471.51 = 6,875.66 : x
  2. Step 2: Convert to fraction form
    9,642.21/14,471.51 = 6,875.66/x
  3. Step 3: Cross multiply
    9,642.21x = 14,471.51 × 6,875.66
  4. Step 4: Simplify right side
    9,642.21x = 99,501,075.71
  5. Step 5: Solve for x
    x = 99,501,075.71/9,642.21
  6. Step 6: Final answer
    x = 10,319.32

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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.