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Finding the Fourth Proportional to 28,428.57, 42,641.64 and 9,710.28

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Solution

The fourth proportional to 28,428.57, 42,641.64 and 9,710.28 is: 14,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,428.57 : 42,641.64 = 9,710.28 : x
  2. Step 2: Convert to fraction form
    28,428.57/42,641.64 = 9,710.28/x
  3. Step 3: Cross multiply
    28,428.57x = 42,641.64 × 9,710.28
  4. Step 4: Simplify right side
    28,428.57x = 414,062,264.06
  5. Step 5: Solve for x
    x = 414,062,264.06/28,428.57
  6. Step 6: Final answer
    x = 14,565.00

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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.