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Finding the Fourth Proportional to 9,341.10, 12,878.32 and 7,741.76

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Solution

The fourth proportional to 9,341.10, 12,878.32 and 7,741.76 is: 10,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.10 : 12,878.32 = 7,741.76 : x
  2. Step 2: Convert to fraction form
    9,341.10/12,878.32 = 7,741.76/x
  3. Step 3: Cross multiply
    9,341.10x = 12,878.32 × 7,741.76
  4. Step 4: Simplify right side
    9,341.10x = 99,700,862.64
  5. Step 5: Solve for x
    x = 99,700,862.64/9,341.10
  6. Step 6: Final answer
    x = 10,673.35

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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.