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Finding the Fourth Proportional to 9,853.48, 13,598.04 and 5,875.36

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Solution

The fourth proportional to 9,853.48, 13,598.04 and 5,875.36 is: 8,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.48 : 13,598.04 = 5,875.36 : x
  2. Step 2: Convert to fraction form
    9,853.48/13,598.04 = 5,875.36/x
  3. Step 3: Cross multiply
    9,853.48x = 13,598.04 × 5,875.36
  4. Step 4: Simplify right side
    9,853.48x = 79,893,380.29
  5. Step 5: Solve for x
    x = 79,893,380.29/9,853.48
  6. Step 6: Final answer
    x = 8,108.14

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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.