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Finding the Fourth Proportional to 9,830.89, 13,566.51 and 5,354.63

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Solution

The fourth proportional to 9,830.89, 13,566.51 and 5,354.63 is: 7,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.89 : 13,566.51 = 5,354.63 : x
  2. Step 2: Convert to fraction form
    9,830.89/13,566.51 = 5,354.63/x
  3. Step 3: Cross multiply
    9,830.89x = 13,566.51 × 5,354.63
  4. Step 4: Simplify right side
    9,830.89x = 72,643,573.61
  5. Step 5: Solve for x
    x = 72,643,573.61/9,830.89
  6. Step 6: Final answer
    x = 7,389.32

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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.