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Finding the Fourth Proportional to 9,117.84, 13,672.32 and 2,878.32

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Solution

The fourth proportional to 9,117.84, 13,672.32 and 2,878.32 is: 4,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.84 : 13,672.32 = 2,878.32 : x
  2. Step 2: Convert to fraction form
    9,117.84/13,672.32 = 2,878.32/x
  3. Step 3: Cross multiply
    9,117.84x = 13,672.32 × 2,878.32
  4. Step 4: Simplify right side
    9,117.84x = 39,353,312.10
  5. Step 5: Solve for x
    x = 39,353,312.10/9,117.84
  6. Step 6: Final answer
    x = 4,316.08

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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.