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Finding the Fourth Proportional to 9,854.10, 13,598.43 and 5,377.83

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Solution

The fourth proportional to 9,854.10, 13,598.43 and 5,377.83 is: 7,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.10 : 13,598.43 = 5,377.83 : x
  2. Step 2: Convert to fraction form
    9,854.10/13,598.43 = 5,377.83/x
  3. Step 3: Cross multiply
    9,854.10x = 13,598.43 × 5,377.83
  4. Step 4: Simplify right side
    9,854.10x = 73,130,044.81
  5. Step 5: Solve for x
    x = 73,130,044.81/9,854.10
  6. Step 6: Final answer
    x = 7,421.28

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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.