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Finding the Fourth Proportional to 9,830.48, 13,585.36 and 8,736.98

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Solution

The fourth proportional to 9,830.48, 13,585.36 and 8,736.98 is: 12,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.48 : 13,585.36 = 8,736.98 : x
  2. Step 2: Convert to fraction form
    9,830.48/13,585.36 = 8,736.98/x
  3. Step 3: Cross multiply
    9,830.48x = 13,585.36 × 8,736.98
  4. Step 4: Simplify right side
    9,830.48x = 118,695,018.61
  5. Step 5: Solve for x
    x = 118,695,018.61/9,830.48
  6. Step 6: Final answer
    x = 12,074.18

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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.