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Finding the Fourth Proportional to 9,352, 14,007.40 and 7,730.74

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Solution

The fourth proportional to 9,352, 14,007.40 and 7,730.74 is: 11,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352 : 14,007.40 = 7,730.74 : x
  2. Step 2: Convert to fraction form
    9,352/14,007.40 = 7,730.74/x
  3. Step 3: Cross multiply
    9,352x = 14,007.40 × 7,730.74
  4. Step 4: Simplify right side
    9,352x = 108,287,567.48
  5. Step 5: Solve for x
    x = 108,287,567.48/9,352
  6. Step 6: Final answer
    x = 11,579.08

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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.