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Finding the Fourth Proportional to 9,763.84, 14,655.36 and 7,159.36

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Solution

The fourth proportional to 9,763.84, 14,655.36 and 7,159.36 is: 10,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.84 : 14,655.36 = 7,159.36 : x
  2. Step 2: Convert to fraction form
    9,763.84/14,655.36 = 7,159.36/x
  3. Step 3: Cross multiply
    9,763.84x = 14,655.36 × 7,159.36
  4. Step 4: Simplify right side
    9,763.84x = 104,922,998.17
  5. Step 5: Solve for x
    x = 104,922,998.17/9,763.84
  6. Step 6: Final answer
    x = 10,746.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.