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Finding the Fourth Proportional to 9,851.78, 13,594.20 and 6,501.08

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Solution

The fourth proportional to 9,851.78, 13,594.20 and 6,501.08 is: 8,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.78 : 13,594.20 = 6,501.08 : x
  2. Step 2: Convert to fraction form
    9,851.78/13,594.20 = 6,501.08/x
  3. Step 3: Cross multiply
    9,851.78x = 13,594.20 × 6,501.08
  4. Step 4: Simplify right side
    9,851.78x = 88,376,981.74
  5. Step 5: Solve for x
    x = 88,376,981.74/9,851.78
  6. Step 6: Final answer
    x = 8,970.66

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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.