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Finding the Fourth Proportional to 9,635.63, 13,298.58 and 5,658.93

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Solution

The fourth proportional to 9,635.63, 13,298.58 and 5,658.93 is: 7,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.63 : 13,298.58 = 5,658.93 : x
  2. Step 2: Convert to fraction form
    9,635.63/13,298.58 = 5,658.93/x
  3. Step 3: Cross multiply
    9,635.63x = 13,298.58 × 5,658.93
  4. Step 4: Simplify right side
    9,635.63x = 75,255,733.32
  5. Step 5: Solve for x
    x = 75,255,733.32/9,635.63
  6. Step 6: Final answer
    x = 7,810.16

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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.