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Finding the Fourth Proportional to 28,310.16, 42,465.08 and 9,842

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Solution

The fourth proportional to 28,310.16, 42,465.08 and 9,842 is: 14,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,310.16 : 42,465.08 = 9,842 : x
  2. Step 2: Convert to fraction form
    28,310.16/42,465.08 = 9,842/x
  3. Step 3: Cross multiply
    28,310.16x = 42,465.08 × 9,842
  4. Step 4: Simplify right side
    28,310.16x = 417,941,317.36
  5. Step 5: Solve for x
    x = 417,941,317.36/28,310.16
  6. Step 6: Final answer
    x = 14,762.94

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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.