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Finding the Fourth Proportional to 9,909.63, 13,670.23 and 7,547.67

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Solution

The fourth proportional to 9,909.63, 13,670.23 and 7,547.67 is: 10,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.63 : 13,670.23 = 7,547.67 : x
  2. Step 2: Convert to fraction form
    9,909.63/13,670.23 = 7,547.67/x
  3. Step 3: Cross multiply
    9,909.63x = 13,670.23 × 7,547.67
  4. Step 4: Simplify right side
    9,909.63x = 103,178,384.86
  5. Step 5: Solve for x
    x = 103,178,384.86/9,909.63
  6. Step 6: Final answer
    x = 10,411.93

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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.