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Finding the Fourth Proportional to 9,854.24, 13,599.12 and 5,875.68

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Solution

The fourth proportional to 9,854.24, 13,599.12 and 5,875.68 is: 8,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.24 : 13,599.12 = 5,875.68 : x
  2. Step 2: Convert to fraction form
    9,854.24/13,599.12 = 5,875.68/x
  3. Step 3: Cross multiply
    9,854.24x = 13,599.12 × 5,875.68
  4. Step 4: Simplify right side
    9,854.24x = 79,904,077.40
  5. Step 5: Solve for x
    x = 79,904,077.40/9,854.24
  6. Step 6: Final answer
    x = 8,108.60

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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.