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Finding the Fourth Proportional to 9,953.07, 13,730.65 and 6,417.42

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Solution

The fourth proportional to 9,953.07, 13,730.65 and 6,417.42 is: 8,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.07 : 13,730.65 = 6,417.42 : x
  2. Step 2: Convert to fraction form
    9,953.07/13,730.65 = 6,417.42/x
  3. Step 3: Cross multiply
    9,953.07x = 13,730.65 × 6,417.42
  4. Step 4: Simplify right side
    9,953.07x = 88,115,315.84
  5. Step 5: Solve for x
    x = 88,115,315.84/9,953.07
  6. Step 6: Final answer
    x = 8,853.08

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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.