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Finding the Fourth Proportional to 9,558.58, 14,330.87 and 6,430.81

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Solution

The fourth proportional to 9,558.58, 14,330.87 and 6,430.81 is: 9,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.58 : 14,330.87 = 6,430.81 : x
  2. Step 2: Convert to fraction form
    9,558.58/14,330.87 = 6,430.81/x
  3. Step 3: Cross multiply
    9,558.58x = 14,330.87 × 6,430.81
  4. Step 4: Simplify right side
    9,558.58x = 92,159,030.45
  5. Step 5: Solve for x
    x = 92,159,030.45/9,558.58
  6. Step 6: Final answer
    x = 9,641.50

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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.