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Finding the Fourth Proportional to 9,283.52, 13,926.08 and 2,358

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Solution

The fourth proportional to 9,283.52, 13,926.08 and 2,358 is: 3,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.52 : 13,926.08 = 2,358 : x
  2. Step 2: Convert to fraction form
    9,283.52/13,926.08 = 2,358/x
  3. Step 3: Cross multiply
    9,283.52x = 13,926.08 × 2,358
  4. Step 4: Simplify right side
    9,283.52x = 32,837,696.64
  5. Step 5: Solve for x
    x = 32,837,696.64/9,283.52
  6. Step 6: Final answer
    x = 3,537.20

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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.