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Finding the Fourth Proportional to 9,830.84, 13,566.26 and 5,582.30

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Solution

The fourth proportional to 9,830.84, 13,566.26 and 5,582.30 is: 7,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.84 : 13,566.26 = 5,582.30 : x
  2. Step 2: Convert to fraction form
    9,830.84/13,566.26 = 5,582.30/x
  3. Step 3: Cross multiply
    9,830.84x = 13,566.26 × 5,582.30
  4. Step 4: Simplify right side
    9,830.84x = 75,730,879.32
  5. Step 5: Solve for x
    x = 75,730,879.32/9,830.84
  6. Step 6: Final answer
    x = 7,703.40

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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.