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Finding the Fourth Proportional to 9,780.16, 13,498.24 and 5,803.08

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Solution

The fourth proportional to 9,780.16, 13,498.24 and 5,803.08 is: 8,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.16 : 13,498.24 = 5,803.08 : x
  2. Step 2: Convert to fraction form
    9,780.16/13,498.24 = 5,803.08/x
  3. Step 3: Cross multiply
    9,780.16x = 13,498.24 × 5,803.08
  4. Step 4: Simplify right side
    9,780.16x = 78,331,366.58
  5. Step 5: Solve for x
    x = 78,331,366.58/9,780.16
  6. Step 6: Final answer
    x = 8,009.21

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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.